Annual Energy Outlook 2013 [U.S. Energy Information Administration (EIA)]
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Perfect Matching for General Graphs Page 438 is about bipartite perfect matching
Lyuu, Yuh-Dauh
to the wrong answer. c 2010 Prof. Yuh-Dauh Lyuu, National Taiwan University Page 459 #12;The Markov Inequalitya
Laetitia et Thomas -Rapport bonus Terre -Mer 2006/2007 Rapport bonus Terre -Mer 2006-2007
Demouchy, Sylvie
Laetitia et Thomas - Rapport bonus Terre - Mer 2006/2007 1/6 Rapport bonus Terre - Mer 2006 actuel / 200m Foreset Messinien #12;Laetitia et Thomas - Rapport bonus Terre - Mer 2006/2007 2/6 1
ALGORITHMS FOR EMBEDDING GRAPHS IN BOOKS
North Carolina at Chapel Hill, University of
investigate the problem ol embedding graphs in boob. A book is some number or half- planes (the page
Gasoline and Diesel Fuel Update (EIA)
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Evan Marshall Trevathan Admissible SC-Graphs
Donnelly, Rob
Evan Marshall Trevathan Admissible SC-Graphs Page 1 Admissible SC-Graphs Define: ( , )G ( 2)nB n ( 4)nD n ( 6,7,8)nE n 4F 2G 2H 3H #12;Evan Marshall Trevathan Admissible SC-Graphs Page 2 the form of a #12;Evan Marshall Trevathan Admissible SC-Graphs Page 3 "loop", like ,with no other
Analysis of the BATSE Continuous MER data
P. Veres; I. Horvath; L. G. Balazs
2005-10-11T23:59:59.000Z
The CGRO/BATSE database includes many types of data such as the 16-channel continuous background or medium energy resolution burst data (CONT and MER data types). We have calculated some four hundred burst's medium energy resolution spectra and Principal Component Analysis has been applied. We found five components can describe GRBs' spectra.
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Broader source: Energy.gov (indexed) [DOE]
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Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
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Rover Technology Development and Mission Infusion Beyond MER
Volpe, Richard
1 Rover Technology Development and Mission Infusion Beyond MER Richard Volpe Jet Propulsion ROVER TECHNOLOGY USAGE ......3 4. ROVER TECHNOLOGY INFUSION............3 5. MTP ROVER TECHNOLOGY
Office of Environmental Management (EM)
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Office of Environmental Management (EM)
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A Feasible Graph Partition Framework for Random Walks Implemented by Parallel Computing in Big Graph
Liu, Xiaoming; Guan, Xiaohong
2015-01-01T23:59:59.000Z
Graph partition is a fundamental problem of parallel computing for big graph data. Many graph partition algorithms have been proposed to solve the problem in various applications, such as matrix computations and PageRank, etc., but none has pay attention to random walks. Random walks is a widely used method to explore graph structure in lots of fields. The challenges of graph partition for random walks include the large number of times of communication between partitions, lots of replications of the vertices, unbalanced partition, etc. In this paper, we propose a feasible graph partition framework for random walks implemented by parallel computing in big graph. The framework is based on two optimization functions to reduce the bandwidth, memory and storage cost in the condition that the load balance is guaranteed. In this framework, several greedy graph partition algorithms are proposed. We also propose five metrics from different perspectives to evaluate the performance of these algorithms. By running the al...
Math 304 Handout: Linear algebra, graphs, and networks.
Anshelevich, Michael
and adjacency matrices. 1 2. Word search 3 3. Ranking the web pages. 4 1. GRAPHS AND ADJACENCY MATRICES. · The World Wide Web is a directed graph, with web pages as vertices and links as edges. · Towns connected column corresponds to a web page, each row to a word, and each entry is 1 if a particular word occurs
SPC Beche-de mer Information Bulletin #10 May 1998 Introduction
Paris-Sud XI, Université de
SPC Beche-de mer Information Bulletin #10 May 1998 15 Introduction Although Stichopus chloronotus, University of La RZunion, France #12;SPC Beche-de-mer Information Bulletin #10 May 1998 16 ¥ on specimens
SPC Beche-de-mer Information Bulletin #10 May 1998 Introduction
Paris-Sud XI, Université de
SPC Beche-de-mer Information Bulletin #10 May 1998 10 Introduction Sea cucumber harvesting RZunion #12;SPC Beche-de mer Information Bulletin #10 May 1998 11 Harvesting was done during the spring
SPC Beche-de-mer Information Bulletin #8April 1996 17 Commercial holothurians in South Sulawesi,
Boyer, Edmond
SPC Beche-de-mer Information Bulletin #8April 1996 17 Commercial holothurians in South Sulawesi [Photo: C. Conand] #12;SPC Beche-de-mer Information Bulletin #8 April 199618 tionships established
university-logo Graph Expansions
St Andrews, University of
university-logo Graph Expansions Green's Relations Closing Remarks Semigroup Graph Expansions January 2009 Rebecca Noonan Heale Semigroup Graph Expansions: #12;university-logo Graph Expansions Green;university-logo Graph Expansions Green's Relations Closing Remarks History Definitions Graph Expansions
Bertrand, Nathalie; 10.4204/EPTCS.39.6
2010-01-01T23:59:59.000Z
Deterministic graph grammars generate regular graphs, that form a structural extension of configuration graphs of pushdown systems. In this paper, we study a probabilistic extension of regular graphs obtained by labelling the terminal arcs of the graph grammars by probabilities. Stochastic properties of these graphs are expressed using PCTL, a probabilistic extension of computation tree logic. We present here an algorithm to perform approximate verification of PCTL formulae. Moreover, we prove that the exact model-checking problem for PCTL on probabilistic regular graphs is undecidable, unless restricting to qualitative properties. Our results generalise those of EKM06, on probabilistic pushdown automata, using similar methods combined with graph grammars techniques.
2010-12-02T23:59:59.000Z
Dec 2, 2010 ... Massachusetts Institute of Technology ... testing between graph families, and the generation of graphs with certain desired structural properties.
Evaluation of MerCAP for Power Plant Mercury Control
Carl Richardson
2008-09-30T23:59:59.000Z
This report is submitted to the U.S. Department of Energy National Energy Technology Laboratory (DOE-NETL) as part of Cooperative Agreement DE-FC26-03NT41993, 'Evaluation of EPRI's MerCAP{trademark} Technology for Power Plant Mercury Control'. This project has investigated the mercury removal performance of EPRI's Mercury Capture by Amalgamation Process (MerCAP{trademark}) technology. Test programs were conducted to evaluate gold-based MerCAP{trademark} at Great River Energy's Stanton Station Unit 10 (Site 1), which fired both North Dakota lignite (NDL) and Power River Basin (PRB) coal during the testing period, and at Georgia Power's Plant Yates Unit 1 (Site 2) [Georgia Power is a subsidiary of The Southern Company] which fires a low sulfur Eastern bituminous coal. Additional tests were carried out at Alabama Power's Plant Miller, which fires Powder River Basin Coal, to evaluate a carbon-based MerCAP{trademark} process for removing mercury from flue gas downstream of an electrostatic precipitator [Alabama Power is a subsidiary of The Southern Company]. A full-scale gold-based sorbent array was installed in the clean-air plenum of a single baghouse compartment at GRE's Stanton Station Unit 10, thereby treating 1/10th of the unit's exhaust gas flow. The substrates that were installed were electroplated gold screens oriented parallel to the flue gas flow. The sorbent array was initially installed in late August of 2004, operating continuously until its removal in July 2006, after nearly 23 months. The initial 4 months of operation were conducted while the host unit was burning North Dakota lignite (NDL). In November 2004, the host unit switched fuel to burn Powder River Basin (PRB) subbituminous coal and continued to burn the PRB fuel for the final 19 months of this program. Tests were conducted at Site 1 to evaluate the impacts of flue gas flow rate, sorbent plate spacing, sorbent pre-cleaning and regeneration, and spray dryer operation on MerCAP{trademark} performance. At Site 2, a pilot-scale array was installed in a horizontal reactor chamber designed to treat approximately 2800 acfm of flue gas obtained from downstream of the plant's flue gas desulfurization (FGD) system. The initial MerCAP{trademark} array was installed at Plant Yates in January 2004, operating continuously for several weeks before a catastrophic system failure resulting from a failed flue gas fan. A second MerCAP{trademark} array was installed in July 2006 and operated for one month before being shut down for a reasons pertaining to system performance and host site scheduling. A longer-term continuous-operation test was then conducted during the summer and fall of 2007. Tests were conducted to evaluate the impacts of flue gas flow rate, sorbent space velocity, and sorbent rinsing frequency on mercury removal performance. Detailed characterization of treated sorbent plates was carried out in an attempt to understand the nature of reactions leading to excessive corrosion of the substrate surfaces.
Semidefinite programming and eigenvalue bounds for the graph ...
2013-11-26T23:59:59.000Z
Page 1 ... Using what we call the Laplacian algebra of a graph, we ..... Let us now consider graphs with symmetry, and assume that the data matrices of .... constraints (16) and (17) (respectively) don't occur precisely because of the vanishing of.
Wong, Pak C. (Richland, WA); Mackey, Patrick S. (Kennewick, WA); Perrine, Kenneth A. (Richland, WA); Foote, Harlan P. (Richland, WA); Thomas, James J. (Richland, WA)
2008-12-23T23:59:59.000Z
Methods for visualizing a graph by automatically drawing elements of the graph as labels are disclosed. In one embodiment, the method comprises receiving node information and edge information from an input device and/or communication interface, constructing a graph layout based at least in part on that information, wherein the edges are automatically drawn as labels, and displaying the graph on a display device according to the graph layout. In some embodiments, the nodes are automatically drawn as labels instead of, or in addition to, the label-edges.
Aldecoa, Rodrigo; Krioukov, Dmitri
2015-01-01T23:59:59.000Z
Networks representing many complex systems in nature and society share some common structural properties like heterogeneous degree distributions and strong clustering. Recent research on network geometry has shown that those real networks can be adequately modeled as random geometric graphs in hyperbolic spaces. In this paper, we present a computer program to generate such graphs. Besides real-world-like networks, the program can generate random graphs from other well-known graph ensembles, such as the soft configuration model, random geometric graphs on a circle, or Erd\\H{o}s-R\\'enyi random graphs. The simulations show a good match between the expected values of different network structural properties and the corresponding empirical values measured in generated graphs, confirming the accurate behavior of the program.
Visualization Graph | OpenEI Community
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Spectral characterizations of sun graphs and broken sun graphs
Paris-Sud XI, Université de
Spectral characterizations of sun graphs and broken sun graphs Romain Boulet 10 Dec 2009 Abstract- cyclic graphs. An odd (resp. even) sun is a graph obtained by appending a pendant vertex to each vertex of an odd (resp. even) cycle. A broken sun is a graph obtained by deleting pendant vertices of a sun
Extending graph homomorphism and simulation for real life graph matching
Wu, Yinghui
2011-06-30T23:59:59.000Z
Among the vital problems in a variety of emerging applications is the graph matching problem, which is to determine whether two graphs are similar, and if so, find all the valid matches in one graph for the other, based ...
Lothian, Josh [ORNL; Powers, Sarah S [ORNL; Sullivan, Blair D [ORNL; Baker, Matthew B [ORNL; Schrock, Jonathan [ORNL; Poole, Stephen W [ORNL
2013-12-01T23:59:59.000Z
The benchmarking effort within the Extreme Scale Systems Center at Oak Ridge National Laboratory seeks to provide High Performance Computing benchmarks and test suites of interest to the DoD sponsor. The work described in this report is a part of the effort focusing on graph generation. A previously developed benchmark, SystemBurn, allowed the emulation of dierent application behavior profiles within a single framework. To complement this effort, similar capabilities are desired for graph-centric problems. This report examines existing synthetic graph generator implementations in preparation for further study on the properties of their generated synthetic graphs.
Graph concatenation for quantum codes
Beigi, Salman
Graphs are closely related to quantum error-correcting codes: every stabilizer code is locally equivalent to a graph code and every codeword stabilized code can be described by a graph and a classical code. For the ...
Vacuum Energy in Quantum Graphs
Wilson, Justin
2007-07-14T23:59:59.000Z
We calculate the vacuum energy in quantum graphs. Vacuum energy arose in quantum physics but has an independent mathematical interest as a functional carrying information about the eigenvalue spectrum of a system. A quantum graph is a metric graph...
Tables, Graphs, and Problems | ornl.gov
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
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Math 304 Handout: Linear algebra, graphs, and networks.
Anshelevich, Michael
. · The World Wide Web is a directed graph, with web pages as vertices and links as edges. · Towns connected on the web, all the words that they contain. Again, an efficient way to do this is using a (very, very large) matrix. Each column corresponds to a web page, each row to a word, and each entry is 1 if a particular
Chebotarev, Pavel
2008-01-01T23:59:59.000Z
For a weighted multidigraph, let $f_{ij}$ be the total weight of spanning converging forests that have vertex $i$ in a tree converging to $j$. We prove that $f_{ij}f_{jk}=f_{ik}f_{jj}$ if and only if every directed path from $i$ to $k$ contains $j$ (a graph bottleneck equality). Otherwise, $f_{ij}f_{jk}inequality). In a companion paper, this inequality provides the foundation for the construction of a new family of graph distances by ensuring the fulfillment of the triangle inequality. This stems from the fact that the graph bottleneck inequality is a multiplicative analogue of the triangle inequality for proximities.
Efficiently Controllable Graphs
Can Gokler; Kevin Thompson; Peter Shor; Seth Lloyd
2015-03-18T23:59:59.000Z
We show that universal quantum computation can be performed efficiently on quantum networks while the fraction of controlled subsystems vanishes as the network grows larger. We provide examples of quantum spin network families admitting polynomial quantum gate complexity with a vanishing fraction of controlled spins. We define a new family of graphs, the efficiently controllable family, which admits efficient computation with vanishing fraction of controls. We explore generalizations to percolation clusters, fractals and random graphs. We show that the classical computational complexity of estimating the ground state of Hamiltonians described by controllable graphs is polynomial in the number of subsystems/qubits.
Graphs associated with semigroups
Baber, Stephen Asa
1976-01-01T23:59:59.000Z
to the graph of this system as well. We first consider the question of when G(g ) is a com- 3 19 piete graph. The more general question of connectedness will be considered later' In order to state the next few results we need a definitions A minimal right... tM2. In [2], Clifford and Preston show that any two idempotent elements in an inverse semigroup commute. Thus, complete graph. ele2=e2el e MI()M2. As above, G(4 ) is a In order to show that the four conditions in corollary 4. 3...
Simrank: Rapid and sensitive general-purpose k-mer search tool
DeSantis, T.Z.; Keller, K.; Karaoz, U.; Alekseyenko, A.V; Singh, N.N.S.; Brodie, E.L; Pei, Z.; Andersen, G.L; Larsen, N.
2011-04-01T23:59:59.000Z
Terabyte-scale collections of string-encoded data are expected from consortia efforts such as the Human Microbiome Project (http://nihroadmap.nih.gov/hmp). Intra- and inter-project data similarity searches are enabled by rapid k-mer matching strategies. Software applications for sequence database partitioning, guide tree estimation, molecular classification and alignment acceleration have benefited from embedded k-mer searches as sub-routines. However, a rapid, general-purpose, open-source, flexible, stand-alone k-mer tool has not been available. Here we present a stand-alone utility, Simrank, which allows users to rapidly identify database strings the most similar to query strings. Performance testing of Simrank and related tools against DNA, RNA, protein and human-languages found Simrank 10X to 928X faster depending on the dataset. Simrank provides molecular ecologists with a high-throughput, open source choice for comparing large sequence sets to find similarity.
Levene, Mark
Evolution of Database Systems Graph-Based Relational Object-Relational 1960's-1970's 1980's-1990's 1990's-Oriented programming language with a DBMS 3 One approach is to implement on top of a relational DBMS. · Object #12;Home Page Title Page Page 5 of 9 Go Back Full Screen Close Quit Object-Relational Evolution
Martin, Jeremy L.
2003-01-01T23:59:59.000Z
(G)isasetofedges, or unordered pairs of distinct verticesfv;wg.Wefrequently abbreviatefv;wgby vw when no confusion can arise (for instance, when the vertices are one-digit positive integers). The vertices v;w are called the endpoints of the edge vw.Asubgraph of G is a graph G 0... =(V 0 ;E 0 )withV 0 V and E 0 E.We de ne K(V 0 )=fvw j v;w2V 0 ;v6= wg and E(V 0 )=E\\K(V 0 ): The complete graph on V is the graph (V;K(V)). We write K n for the complete graph onf1;:::;ng.ForE 0 E and v2V,thevalence of v with respect to E 0 is val...
Vrgoc, Domagoj
2014-06-27T23:59:59.000Z
Graph data is becoming more and more pervasive. Indeed, services such as Social Networks or the Semantic Web can no longer rely on the traditional relational model, as its structure is somewhat too rigid for the applications ...
Zager, Laura (Laura A.)
2005-01-01T23:59:59.000Z
Measures of graph similarity have a broad array of applications, including comparing chemical structures, navigating complex networks like the World Wide Web, and more recently, analyzing different kinds of biological data. ...
Not Available
1984-11-01T23:59:59.000Z
Pepco's $250,000 worth of computer-graphics equipment has let the utility produce 60 to 100 graphs a day, for everyone from engineers to executives. The types and uses of computer graphics equipment are discussed.
Drawing symmetric planar graphs
Meric, Burak Necati
1998-01-01T23:59:59.000Z
16 17 19 20 21 22 23 24 25 26 A drawing generated by repeating graphs. Generation of the drawing with the unit cell. Calculation of the converted lines. Rectangular unit cell for hexagonal groups. Construction ofhexagonal cells by using... of pixels requires much computer memories and much powerful processors. Figure 1. A drawing generated by repeating graphs. Drawing uses an object-oriented point of view. In drawing, patterns are created as a collection of objects such as points, lines...
Graph Concatenation for Quantum Codes
Salman Beigi; Isaac Chuang; Markus Grassl; Peter Shor; Bei Zeng
2010-02-03T23:59:59.000Z
Graphs are closely related to quantum error-correcting codes: every stabilizer code is locally equivalent to a graph code, and every codeword stabilized code can be described by a graph and a classical code. For the construction of good quantum codes of relatively large block length, concatenated quantum codes and their generalizations play an important role. We develop a systematic method for constructing concatenated quantum codes based on "graph concatenation", where graphs representing the inner and outer codes are concatenated via a simple graph operation called "generalized local complementation." Our method applies to both binary and non-binary concatenated quantum codes as well as their generalizations.
Graph dynamics : learning and representation
Ribeiro, Andre Figueiredo
2006-01-01T23:59:59.000Z
Graphs are often used in artificial intelligence as means for symbolic knowledge representation. A graph is nothing more than a collection of symbols connected to each other in some fashion. For example, in computer vision ...
Temporal Representation in Semantic Graphs
Levandoski, J J; Abdulla, G M
2007-08-07T23:59:59.000Z
A wide range of knowledge discovery and analysis applications, ranging from business to biological, make use of semantic graphs when modeling relationships and concepts. Most of the semantic graphs used in these applications are assumed to be static pieces of information, meaning temporal evolution of concepts and relationships are not taken into account. Guided by the need for more advanced semantic graph queries involving temporal concepts, this paper surveys the existing work involving temporal representations in semantic graphs.
Densities in graphs and matroids
Kannan, Lavanya
2009-05-15T23:59:59.000Z
Certain graphs can be described by the distribution of the edges in its subgraphs. For example, a cycle C is a graph that satisfies |E(H)| |V (H)| < |E(C)| |V (C)| = 1 for all non-trivial subgraphs of C. Similarly, a tree T is a graph that satisfies...
Spectral fluctuations of quantum graphs
Pluha?, Z. [Faculty of Mathematics and Physics, Charles University, 180 00 Praha 8 (Czech Republic); Weidenmller, H. A. [Max-Planck-Institut fr Kernphysik, 69029 Heidelberg (Germany)
2014-10-15T23:59:59.000Z
We prove the Bohigas-Giannoni-Schmit conjecture in its most general form for completely connected simple graphs with incommensurate bond lengths. We show that for graphs that are classically mixing (i.e., graphs for which the spectrum of the classical Perron-Frobenius operator possesses a finite gap), the generating functions for all (P,Q) correlation functions for both closed and open graphs coincide (in the limit of infinite graph size) with the corresponding expressions of random-matrix theory, both for orthogonal and for unitary symmetry.
Lo, Allan
2010-10-12T23:59:59.000Z
Cliques in Graphs Siu Lun Allan Lo Christs College University of Cambridge A thesis submitted for the degree of Doctor of Philosophy 2010 Declaration This dissertation is the result of my own work and includes nothing which is the outcome of work...
A SPATIAL WEB GRAPH MODEL WITH LOCAL INFLUENCE REGIONS
Pralat, Pawel
mining technique, web pages are often represented as vectors in a word-document space. Using LatentA SPATIAL WEB GRAPH MODEL WITH LOCAL INFLUENCE REGIONS W. AIELLO, A. BONATO, C. COOPER, J. JANSSEN-degree distribution, with exponent in [2, ) depending on the parameters, and with concentration for a wide range of in
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
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Graph Coarsening for Path Finding in Cybersecurity Graphs
Hogan, Emilie A.; Johnson, John R.; Halappanavar, Mahantesh
2013-01-01T23:59:59.000Z
n the pass-the-hash attack, hackers repeatedly steal password hashes and move through a computer network with the goal of reaching a computer with high level administrative privileges. In this paper we apply graph coarsening in network graphs for the purpose of detecting hackers using this attack or assessing the risk level of the network's current state. We repeatedly take graph minors, which preserve the existence of paths in the graph, and take powers of the adjacency matrix to count the paths. This allows us to detect the existence of paths as well as find paths that have high risk of being used by adversaries.
Chebotarev, Pavel
2010-01-01T23:59:59.000Z
A matrix $S=(s_{ij})_{n\\times n}$ is said to determine a \\emph{transitional measure} for a digraph $\\Gamma$ on $n$ vertices if for all $i,j,k\\in\\{1,...,n\\},$ the \\emph{transition inequality} $s_{ij}s_{jk}\\le s_{ik}s_{jj}$ holds and reduces to the equality (called the \\emph{graph bottleneck identity}) if and only if every path in $\\Gamma$ from $i$ to $k$ contains $j$. We show that every positive transitional measure produces a distance by means of a logarithmic transformation. Moreover, the resulting distance $d(\\cdot,\\cdot)$ is \\emph{graph-geodetic}, that is, $d(i,j)+d(j,k)=d(i,k)$ holds if and only if every path from $i$ to $k$ contains $j$. Five types of matrices that determine transitional measures for a strong digraph are considered, namely, the matrices of path weights, connection reliabilities, route weights, and the weights of in-forests and out-forests. The results obtained have undirected counterparts. In [P. Chebotarev, A family of graph distances generalizing both the shortest-path and the resistan...
Graph/Network Visualization Data model: graph structures (relations,
Fang, Shiaofen
of physics #12;8 The Spring Model Using springs to represent node-node relations. Minimizing energy1 1 Graph/Network Visualization Data model: graph structures (relations, knowledge) and networks hierarchies #12;7 Sugiyama : Building Hierarchy Domain knowledge based. Designing heuristic, e.g. minimizing
Estrada, Ernesto
2015-01-01T23:59:59.000Z
A generalization of the random geometric graph (RGG) model is proposed by considering a set of points uniformly and independently distributed on a rectangle of unit area instead of on a unit square \\left[0,1\\right]^{2}. The topological properties, such as connectivity, average degree, average path length and clustering, of the random rectangular graphs (RRGs) generated by this model are then studied as a function of the rectangle sides lengths a and b=1/a, and the radius r used to connect the nodes. When a=1 we recover the RGG, and when a\\rightarrow\\infty the very elongated rectangle generated resembles a one-dimensional RGG. We provided computational and analytical evidence that the topological properties of the RRG differ significantly from those of the RGG. The connectivity of the RRG depends not only on the number of nodes as in the case of the RGG, but also on the side length of the rectangle. As the rectangle is more elongated the critical radius for connectivity increases following first a power-law an...
GRAPH III: a digitizing and graph plotting program
Selleck, C.B.
1986-03-01T23:59:59.000Z
GRAPH is an interactive program that allows the user to perform two functions. The first is to plot two dimensional graphs and the second is to digitize graphs or plots to create data files of points. The program is designed to allow the user to get results quickly and easily. It is written in RATIV (a FORTRAN preprocessor) and is currently in use at Sandia under VMS on a VAX computer and CTSS on a Cray supercomputer. The program provides graphical output through all of the Sandia Virtual Device Interface (VDI) graphics devices. 2 refs., 3 figs., 3 tabs.
Tools for Large Graph Mining Deepayan Chakrabarti
Tools for Large Graph Mining by Deepayan Chakrabarti Submitted to the Center for Automated Learning computer networks to sociology, biology, ecology and many more. How do such "normal" graphs look like? How-graph, which can be both weighted or unweighted. Ecology: Food webs are self-graphs with each node
Contagious Sets in Random Graphs Uriel Feige
Contagious Sets in Random Graphs Uriel Feige Michael Krivelevich Daniel Reichman August 10, 2014. A contagious set is a set whose activation results with the entire graph being active. Given a graph G, let m(G, 2) be the minimal size of a contagious set. We consider the binomial random graph G := G(n, p
GRAPH THEORY STUDY GUIDE 1. Definitions
Cooper, Joshua N.
GRAPH THEORY STUDY GUIDE 1. Definitions Definition 1 (Partition of A). A set A = A1, ..., Ak. Definition 2 (Vertex set). The set of vertices in a graph denoted by V (G). Definition 3 (Edge set). The set of edges in a graph denoted by E(G). Definition 4 (Order). the number of vertices of a graph G written |G
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Johan Kok; K. P. Chithra; N. K. Sudev; C. Susanth
2015-04-09T23:59:59.000Z
A \\textit{primitive hole} of a graph $G$ is a cycle of length $3$ in $G$. The number of primitive holes in a given graph $G$ is called the primitive hole number of that graph $G$. The primitive degree of a vertex $v$ of a given graph $G$ is the number of primitive holes incident on the vertex $v$. In this paper, we introduce the notion of set-graphs and study the properties and characteristics of set-graphs. We also check the primitive hole number and primitive degree of set-graphs. Interesting introductory results on the nature of order of set-graphs, degree of the vertices corresponding to subsets of equal cardinality, the number of largest complete subgraphs in a set-graph etc. are discussed in this study. A recursive formula to determine the primitive hole number of a set-graph is also derived in this paper.
Graph anomalies in cyber communications
Vander Wiel, Scott A [Los Alamos National Laboratory; Storlie, Curtis B [Los Alamos National Laboratory; Sandine, Gary [Los Alamos National Laboratory; Hagberg, Aric A [Los Alamos National Laboratory; Fisk, Michael [Los Alamos National Laboratory
2011-01-11T23:59:59.000Z
Enterprises monitor cyber traffic for viruses, intruders and stolen information. Detection methods look for known signatures of malicious traffic or search for anomalies with respect to a nominal reference model. Traditional anomaly detection focuses on aggregate traffic at central nodes or on user-level monitoring. More recently, however, traffic is being viewed more holistically as a dynamic communication graph. Attention to the graph nature of the traffic has expanded the types of anomalies that are being sought. We give an overview of several cyber data streams collected at Los Alamos National Laboratory and discuss current work in modeling the graph dynamics of traffic over the network. We consider global properties and local properties within the communication graph. A method for monitoring relative entropy on multiple correlated properties is discussed in detail.
Doing time : inducing temporal graphs
Bramsen, Philip James
2006-01-01T23:59:59.000Z
We consider the problem of constructing a directed acyclic graph that encodes temporal relations found in a text. The unit of our analysis is a temporal segment, a fragment of text that maintains temporal coherence. The ...
Virasoro Representations on Fusion Graphs
J. Kellendonk; A. Recknagel
1992-10-01T23:59:59.000Z
For any non-unitary model with central charge c(2,q) the path spaces associated to a certain fusion graph are isomorphic to the irreducible Virasoro highest weight modules.
Summing tree graphs at threshold
Brown, L.S. (Department of Physics, FM-15, University of Washington, Seattle, Washington 98195 (United States))
1992-11-15T23:59:59.000Z
The solution of the classical field equation generates the sum of all tree graphs. We show that the classical equation reduces to an easily solved ordinary differential equation for certain multiparticle threshold amplitudes and compute these amplitudes.
CSC444-2001-CR-01A Page 1 14 November, 2001 Change Request #001
Easterbrook, Steve
CSC444-2001-CR-01A Page 1 14 November, 2001 Change Request #001 for the CSC444 Graph Editor Document # CSC444-2001-CR-01A Revision A 14th November 2001 #12;CSC444-2001-CR-01A Page 2 14 November, 2001 ...................................................................................................... 5 #12;CSC444-2001-CR-01A Page 3 14 November, 2001 1 Scope This change request refers to the Graph
Managing Attack Graph Complexity Through Visual Hierarchical Aggregation
Noel, Steven
Managing Attack Graph Complexity Through Visual Hierarchical Aggregation Steven Noel Center a framework for managing network attack graph complexity through interactive visualization, which includes hierarchical aggregation of graph elements. Aggregation collapses non-overlapping subgraphs of the attack graph
Meyer, Peter
2009-01-01T23:59:59.000Z
1 Peter Meyer Lab publications page Tedder, P., Zubko, E., Westhead, D.R. and Meyer, P. (2009 of conserved miRNAs and of a 24mer RNA. RNA 15: 1012-1020 Singh, A., Zubko, E. and Meyer, P. (2008) Co.R. and Meyer, P. (2008) Heat stress enhances the accumulation of polyadenylated mitochondrial transcripts
Polynomials associated with graph coloring and orientations
Humpert, Brandon Eugene
2011-04-26T23:59:59.000Z
We study colorings and orientations of graphs in two related contexts. Firstly, we generalize Stanley's chromatic symmetric function using the k-balanced colorings of Pretzel to create a new graph invariant. We show that ...
Optimization in Geometric Graphs: Complexity and Approximation
Kahruman-Anderoglu, Sera
2011-02-22T23:59:59.000Z
We consider several related problems arising in geometric graphs. In particular, we investigate the computational complexity and approximability properties of several optimization problems in unit ball graphs and develop algorithms to find exact...
Percolation in the Secrecy Graph Amites Sarkar
Sarkar, Amites
Percolation in the Secrecy Graph Amites Sarkar Martin Haenggi July 8, 2011 Abstract Secrecy graphs. Department of Mathematics, Western Washington University, Bellingham, WA 98225, USA. Email: amites.sarkar
Algebraic connectivity and graph robustness.
Feddema, John Todd; Byrne, Raymond Harry; Abdallah, Chaouki T. (University of New Mexico)
2009-07-01T23:59:59.000Z
Recent papers have used Fiedler's definition of algebraic connectivity to show that network robustness, as measured by node-connectivity and edge-connectivity, can be increased by increasing the algebraic connectivity of the network. By the definition of algebraic connectivity, the second smallest eigenvalue of the graph Laplacian is a lower bound on the node-connectivity. In this paper we show that for circular random lattice graphs and mesh graphs algebraic connectivity is a conservative lower bound, and that increases in algebraic connectivity actually correspond to a decrease in node-connectivity. This means that the networks are actually less robust with respect to node-connectivity as the algebraic connectivity increases. However, an increase in algebraic connectivity seems to correlate well with a decrease in the characteristic path length of these networks - which would result in quicker communication through the network. Applications of these results are then discussed for perimeter security.
Graph Analytics for Signature Discovery
Hogan, Emilie A.; Johnson, John R.; Halappanavar, Mahantesh; Lo, Chaomei
2013-06-01T23:59:59.000Z
Within large amounts of seemingly unstructured data it can be diffcult to find signatures of events. In our work we transform unstructured data into a graph representation. By doing this we expose underlying structure in the data and can take advantage of existing graph analytics capabilities, as well as develop new capabilities. Currently we focus on applications in cybersecurity and communication domains. Within cybersecurity we aim to find signatures for perpetrators using the pass-the-hash attack, and in communications we look for emails or phone calls going up or down a chain of command. In both of these areas, and in many others, the signature we look for is a path with certain temporal properties. In this paper we discuss our methodology for finding these temporal paths within large graphs.
On semidefinite programming bounds for graph bandwidth
Etienne De Klerk
2011-06-06T23:59:59.000Z
Jun 6, 2011 ... Keywords: Graph bandwidth, cyclic bandwidth, semidefinite programming, quadratic assignment problem. Category 1: Linear, Cone and...
Minimal Spanning Trees with Conflict Graphs
symmetric conflict relations by means of an undirected conflict graph, where ..... International Symposium on Mathematical Foundations of Computer. Science...
Riccardo Adami; Enrico Serra; Paolo Tilli
2014-06-16T23:59:59.000Z
We investigate the existence of ground states for the subcritical NLS energy on metric graphs. In particular, we find out a topological assumption that guarantees the nonexistence of ground states, and give an example in which the assumption is not fulfilled and ground states actually exist. In order to obtain the result, we introduce a new rearrangement technique, adapted to the graph where it applies. Owing to such a technique, the energy level of the rearranged function is improved by conveniently mixing the symmetric and monotone rearrangement procedures.
Effecting Parallel Graph Eigensolvers Through Library Composition
Lumsdaine, Andrew
is not possible in general. Conventional linear algebra libraries cannot operate on graph data types. Likewise exploitation of this duality. Graph libraries and matrix libraries use different data types, and despiteEffecting Parallel Graph Eigensolvers Through Library Composition Alex Breuer, Peter Gottschling
Graph Decompositions and Secret Sharing Schemes 1
Stinson, Douglas
Graph Decompositions and Secret Sharing Schemes 1 C. Blundo and A. De Santis Dipartimento di In this paper, we continue a study of secret sharing schemes for access structures based on graphs. Given a graph G, we require that a subset of participants can compute a secret key if they contain an edge of G
A heuristic algorithm for graph isomorphism
Torres Navarro, Luz
1999-01-01T23:59:59.000Z
polynomial time algorithm O(n?), ISO-MT, that seems' to solve the graph isomorphism decision problem correctly for all classes of graphs. Our algorithm is extremely useful from the practical point of view since counter examples (pairs of graphs for which our...
Acyclic Coloring of Graphs of Maximum Degree Five: Nine Colors are Enough
Boyer, Edmond
graphs with "large" girth [BKW99], 1-planar graphs [BKRS01], outerplanar graphs (see for instance [Sop97
EuroComb 2005 DMTCS proc. AE, 2005, 389396 Acyclic Coloring of Graphs of Maximum
Fertin, Guillaume
for several families F of graphs such as planar graphs [Bor79], planar graphs with "large" girth [BKW99], 1
Acyclic Coloring of Graphs of Maximum Degree Five: Nine Colors are Enough
Fertin, Guillaume
graphs with ``large'' girth [BKW99], 1planar graphs [BKRS01], outerplanar graphs (see for instance [Sop
Expression of merA, amoA and hao in Continuously Cultured Nitrosomonas europaea Cells Exposed to
Semprini, Lewis
of either 600 mM CuSO4 or 2250 mM MgSO4 protected N. europaea from ZnCl2 inhibition, indicating a competition between Zn2 and Cu2 /Mg2 for uptake and/or AMO active sites. Since ZnCl2 inhibition-inhibitory Zn2 levels indicates that merA is an excellent early warning signal for Zn2 inhibition. Biotechnol
Generalized Graph States Based on Hadamard Matrices
Shawn X Cui; Nengkun Yu; Bei Zeng
2015-02-25T23:59:59.000Z
Graph states are widely used in quantum information theory, including entanglement theory, quantum error correction, and one-way quantum computing. Graph states have a nice structure related to a certain graph, which is given by either a stabilizer group or an encoding circuit, both can be directly given by the graph. To generalize graph states, whose stabilizer groups are abelian subgroups of the Pauli group, one approach taken is to study non-abelian stabilizers. In this work, we propose to generalize graph states based on the encoding circuit, which is completely determined by the graph and a Hadamard matrix. We study the entanglement structures of these generalized graph states, and show that they are all maximally mixed locally. We also explore the relationship between the equivalence of Hadamard matrices and local equivalence of the corresponding generalized graph states. This leads to a natural generalization of the Pauli $(X,Z)$ pairs, which characterizes the local symmetries of these generalized graph states. Our approach is also naturally generalized to construct graph quantum codes which are beyond stabilizer codes.
Constrained Graph Optimization: Interdiction and Preservation Problems
Schild, Aaron V [Los Alamos National Laboratory
2012-07-30T23:59:59.000Z
The maximum flow, shortest path, and maximum matching problems are a set of basic graph problems that are critical in theoretical computer science and applications. Constrained graph optimization, a variation of these basic graph problems involving modification of the underlying graph, is equally important but sometimes significantly harder. In particular, one can explore these optimization problems with additional cost constraints. In the preservation case, the optimizer has a budget to preserve vertices or edges of a graph, preventing them from being deleted. The optimizer wants to find the best set of preserved edges/vertices in which the cost constraints are satisfied and the basic graph problems are optimized. For example, in shortest path preservation, the optimizer wants to find a set of edges/vertices within which the shortest path between two predetermined points is smallest. In interdiction problems, one deletes vertices or edges from the graph with a particular cost in order to impede the basic graph problems as much as possible (for example, delete edges/vertices to maximize the shortest path between two predetermined vertices). Applications of preservation problems include optimal road maintenance, power grid maintenance, and job scheduling, while interdiction problems are related to drug trafficking prevention, network stability assessment, and counterterrorism. Computational hardness results are presented, along with heuristic methods for approximating solutions to the matching interdiction problem. Also, efficient algorithms are presented for special cases of graphs, including on planar graphs. The graphs in many of the listed applications are planar, so these algorithms have important practical implications.
Team #32 Page 1 of 19 Modeling Toll Plaza Behavior Using Queuing Theory
Morrow, James A.
.2 Environmental Impact . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.3 Traffic Capacity and Graphs 18 #12;Team #32 Page 3 of 19 1 Introduction Toll financing has been used throughout the history
A Distributed Polylogarithmic Time Algorithm for Self-Stabilizing Skip Graphs
Richa, Andrea Werneck
A Distributed Polylogarithmic Time Algorithm for Self-Stabilizing Skip Graphs Riko Jacob Dept. Computer Science Technische Universität München D-85748 Garching bei München, Germany jacob or commercial advantage and that copies bear this notice and the full citation on the first page. To copy
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One Acquisition Solution for Integrated Services (OASIS) - Brad DeMers,
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Lamplighter groups, de Bruijn graphs, spider-web graphs and their spectra
Rostislav Grigorchuk; Paul-Henry Leemann; Tatiana Nagnibeda
2015-02-24T23:59:59.000Z
We describe the infinite family of spider-web graphs $S_{k,M,N }$, $k \\geq 2$, $M \\geq 1$ and $N \\geq 0$, studied in physical literature as tensor products of well-known de Brujin graphs $B_{k,N}$ and cyclic graphs $C_M$ and show that these graphs are Schreier graphs of the lamplighter groups $L_k = Z/kZ \\wr Z$. This allows us to compute their spectra and to identify the infinite limit of $S_{k,M,N}$, as $N, M \\to\\infty$, with the Cayley graph of the lamplighter group $L_k$.
Lamplighter groups, de Bruijn graphs, spider-web graphs and their spectra
Rostislav Grigorchuk; Paul-Henry Leemann; Tatiana Nagnibeda
2015-05-05T23:59:59.000Z
We describe the infinite family of spider-web graphs $S_{k,M,N }$, $k \\geq 2$, $M \\geq 1$ and $N \\geq 0$, studied in physical literature as tensor products of well-known de Brujin graphs $B_{k,N}$ and cyclic graphs $C_M$ and show that these graphs are Schreier graphs of the lamplighter groups $L_k = Z/kZ \\wr Z$. This allows us to compute their spectra and to identify the infinite limit of $S_{k,M,N}$, as $N, M \\to\\infty$, with the Cayley graph of the lamplighter group $L_k$.
On graphs whose Laplacian matrix's multipartite separability is invariant under graph isomorphism
Chai Wah Wu
2009-06-04T23:59:59.000Z
Normalized Laplacian matrices of graphs have recently been studied in the context of quantum mechanics as density matrices of quantum systems. Of particular interest is the relationship between quantum physical properties of the density matrix and the graph theoretical properties of the underlying graph. One important aspect of density matrices is their entanglement properties, which are responsible for many nonintuitive physical phenomena. The entanglement property of normalized Laplacian matrices is in general not invariant under graph isomorphism. In recent papers, graphs were identified whose entanglement and separability properties are invariant under isomorphism. The purpose of this note is to characterize the set of graphs whose separability is invariant under graph isomorphism. In particular, we show that this set consists of $K_{2,2}$, $\\overline{K_{2,2}}$ and all complete graphs.
Multipartite separability of Laplacian matrices of graphs
Chai Wah Wu
2008-09-04T23:59:59.000Z
Recently, Braunstein et al. [1] introduced normalized Laplacian matrices of graphs as density matrices in quantum mechanics and studied the relationships between quantum physical properties and graph theoretical properties of the underlying graphs. We provide further results on the multipartite separability of Laplacian matrices of graphs. In particular, we identify complete bipartite graphs whose normalized Laplacian matrix is multipartite entangled under any vertex labeling. Furthermore, we give conditions on the vertex degrees such that there is a vertex labeling under which the normalized Laplacian matrix is entangled. These results address an open question raised in [1]. Finally, we extend some of the results in [1,2] to the multipartite case and show that the Laplacian matrix of any product of graphs (strong, Cartesian, tensor, categorical, etc.) is multipartite separable.
Paris-Sud XI, Université de
LETG Institut Universitaire Européen de la Mer Place Nicolas Copernic 29280 Plouzané France
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Median graph shift: A new clustering algorithm for graph domain Salim Jouili, Salvatore Tabbone
Paris-Sud XI, Universit de
and a comparison with the well-known Kmeans algorithm is provided. I. INTRODUCTION Graphs give a universal
Discussiones Mathematicae Graph Theory 34 (2014) 287307
Al Hanbali, Ahmad
2014-01-01T23:59:59.000Z
FOR TRACEABILITY OF BLOCK-CHAINS Binlong Lia,b1, Hajo Broersmab and Shenggui Zhanga2 a Department of Applied at least n-1 in G. A block-chain is a graph whose block graph is a path, i.e., it is either a P1, P2, every traceable graph is a block-chain, but the reverse does not hold. In this paper we characterize all
3D Graph Visualization with the Oculus Rift Virtual Graph Reality
Wismath, Stephen
reality environment such as a CAVE, or printed as a physical model with a 3D printer. Early studies3D Graph Visualization with the Oculus Rift Virtual Graph Reality Farshad Barahimi, Stephen Wismath regarding three- dimensional (3D) representations of graphs. However, the actual usefulness of such 3D
Spectral statistics of nearly unidirectional quantum graphs
Maram Akila; Boris Gutkin
2015-03-04T23:59:59.000Z
The energy levels of a quantum graph with time reversal symmetry and unidirectional classical dynamics are doubly degenerate and obey the spectral statistics of the Gaussian Unitary Ensemble. These degeneracies, however, are lifted when the unidirectionality is broken in one of the graph's vertices by a singular perturbation. Based on a Random Matrix model we derive an analytic expression for the nearest neighbour distribution between energy levels of such systems. As we demonstrate the result agrees excellently with the actual statistics for graphs with a uniform distribution of eigenfunctions. Yet, it exhibits quite substantial deviations for classes of graphs which show strong scarring.
Generation of graph-state streams
Daniel Ballester; Jaeyoon Cho; M. S. Kim
2010-12-08T23:59:59.000Z
We propose a protocol to generate a stream of mobile qubits in a graph state through a single stationary parent qubit and discuss two types of its physical implementation, namely, the generation of photonic graph states through an atom-like qubit and those of flying atoms through a cavity-mode photonic qubit. The generated graph states fall into an important class that can hugely reduce the resource requirement of fault-tolerant linear optics quantum computation, which was previously known to be far from realistic. In regard to the flying atoms, we also propose a heralded generation scheme, which allows for high-fidelity graph states even under the photon loss.
Graph algorithms in the titan toolkit.
McLendon, William Clarence, III; Wylie, Brian Neil
2009-10-01T23:59:59.000Z
Graph algorithms are a key component in a wide variety of intelligence analysis activities. The Graph-Based Informatics for Non-Proliferation and Counter-Terrorism project addresses the critical need of making these graph algorithms accessible to Sandia analysts in a manner that is both intuitive and effective. Specifically we describe the design and implementation of an open source toolkit for doing graph analysis, informatics, and visualization that provides Sandia with novel analysis capability for non-proliferation and counter-terrorism.
Nuclear reactor multiphysics via bond graph formalism
Sosnovsky, Eugeny
2014-01-01T23:59:59.000Z
This work proposes a simple and effective approach to modeling nuclear reactor multiphysics problems using bond graphs. Conventional multiphysics simulation paradigms normally use operator splitting, which treats the ...
On the Cohen-Macaulay graphs and girth
Hoang, Do Trong; Trung, Tran Nam
2012-01-01T23:59:59.000Z
In this paper we investigate the Cohen-Macaulay property of graphs versus girth. In particular, we classify Cohen-Macaulay graphs of girth at least five and planar Gorenstein graphs of girth four.
Operational Equivalence of Graph Transformation Systems
Sarna-Starosta, Beata
Operational Equivalence of Graph Transformation Systems Frank Raiser and Thom Fr¨uhwirth Faculty. With the growing number of GTS- based applications the comparison of operational equivalence of two GTS becomes an important area of research. This work introduces a notion of operational equivalence for graph
On terminal deltawye reducibility of planar graphs
Sagols, Feli
On terminal deltawye reducibility of planar graphs Isidoro Gitler1 Feliu Sagols2 Departamento deexico City, D.F. igitler@math.cinvestav.mx fsagols@math.cinvestav.mx Abstract A graph is terminal - Y -reducible if it can be reduced to a set of terminal vertices by a sequence of series-parallel reductions
A COLUMN GENERATION APPROACH FOR GRAPH COLORING
Grossmann, Ignacio E.
set in the graph). We use a column generation method for implicit optimization of the linear program based on an integer programming formulation of the graph coloring problem. This formulation, called is an assignment of labels to each vertex such that the endpoints of any edge have different labels. A minimum
A Count of Classical Field Theory Graphs
Gordon Chalmers
2005-07-28T23:59:59.000Z
A generating function is derived that counts the number of diagrams in an arbitrary scalar field theory. The number of graphs containing any number $n_j$ of $j$-point vertices is given. The count is also used to obtain the number of classical graphs in gauge theory and gravity.
Directed Graphs, Decompositions, and Spatial Linkages
Shai, Offer; Whiteley, Walter
2010-01-01T23:59:59.000Z
The decomposition of a system of constraints into small basic components is an important tool of design and analysis. Specifically, the decomposition of a linkage into minimal components is a central tool of analysis and synthesis of linkages. In this paper we prove that every pinned 3-isostatic (minimally rigid) graph (grounded linkage) has a unique decomposition into minimal strongly connected components (in the sense of directed graphs) which we call 3-Assur graphs. This analysis extends the Assur decompositions of plane linkages previously studied in the mathematical and the mechanical engineering literature. These 3-Assur graphs are the central building blocks for all kinematic linkages in 3-space. They share a number of key combinatorial and geometric properties with the 2-Assur graphs, including an associated lower block-triangular decomposition of the pinned rigidity matrix which provides a format for extending the motion induced by inserting one driver in a bottom Assur linkage to the joints of the e...
Clustering attributed graphs: models, measures and methods
Bothorel, Cecile; Magnani, Matteo; Micenkova, Barbora
2015-01-01T23:59:59.000Z
Clustering a graph, i.e., assigning its nodes to groups, is an important operation whose best known application is the discovery of communities in social networks. Graph clustering and community detection have traditionally focused on graphs without attributes, with the notable exception of edge weights. However, these models only provide a partial representation of real social systems, that are thus often described using node attributes, representing features of the actors, and edge attributes, representing different kinds of relationships among them. We refer to these models as attributed graphs. Consequently, existing graph clustering methods have been recently extended to deal with node and edge attributes. This article is a literature survey on this topic, organizing and presenting recent research results in a uniform way, characterizing the main existing clustering methods and highlighting their conceptual differences. We also cover the important topic of clustering evaluation and identify current open ...
EuroComb 2005 DMTCS proc. AE, 2005, 389--396 Acyclic Coloring of Graphs of Maximum
Fertin, Guillaume
for several families F of graphs such as planar graphs [Bor79], planar graphs with ``large'' girth [BKW99], 1
Vienna Graph Template Library Version 1.0
Neumaier, Arnold
.1 Vienna Graph Template Library Modules Here is a list of all modules: Classes and types for external useVienna Graph Template Library Version 1.0 Reference Manual Hermann Schichl University of Vienna.2.14 #12;CONTENTS 1 Contents 1 Introduction 1 2 Vienna Graph Template Library Module Index 2 3 Vienna Graph
Attack Graphs for Sensor Placement, Alert Prioritization, and Attack Response
Noel, Steven
1 Attack Graphs for Sensor Placement, Alert Prioritization, and Attack Response Steven Noel of IDS alarms, using attack graph analysis. Our attack graphs predict the various possible ways and attacker exploits provides an attack graph showing all possible paths to critical assets. We then place IDS
CSC444-2001-SRS-01B Page 1 14-Sep-2001 Software Requirements Specification
Easterbrook, Steve
CSC444-2001-SRS-01B Page 1 14-Sep-2001 Software Requirements Specification for the Graph Editor Document # CSC444-2001-SRS-01B Revision B 14th September 2001 #12;CSC444-2001-SRS-01B Page 2 14-Sep-2001...................................................................................................................................... 3 0.1 12-SEPT-2001: CSC444-2001-SRS-01A
Determining factors behind the PageRank log-log plot Yana Volkovich
Boucherie, Richard J.
- tion through a stochastic equation inspired by the original definition of PageRank. Further, we use agreement with experimental data on three different sam- ples of the Web. Keywords PageRank, Power law, Recursive stochastic equations, Re- gular variation, Web graph MSC 2000 90B15, 68P10, 60J80 1. INTRODUCTION
Graph partitioning advance clustering technique
Madhulatha, T Soni
2012-01-01T23:59:59.000Z
Clustering is a common technique for statistical data analysis, Clustering is the process of grouping the data into classes or clusters so that objects within a cluster have high similarity in comparison to one another, but are very dissimilar to objects in other clusters. Dissimilarities are assessed based on the attribute values describing the objects. Often, distance measures are used. Clustering is an unsupervised learning technique, where interesting patterns and structures can be found directly from very large data sets with little or none of the background knowledge. This paper also considers the partitioning of m-dimensional lattice graphs using Fiedler's approach, which requires the determination of the eigenvector belonging to the second smallest Eigenvalue of the Laplacian with K-means partitioning algorithm.
A role for matrices in graph theory
McLean, John Patrick
1971-01-01T23:59:59.000Z
Theory are well established areas in mathematics, much remains to be done in the standardization of notation and conventions. Thus we begin by defining terms to be used in this Thesis. 1. ) ~Gh 1'h By the directed graph G(X, r), or simply G, we mean... directed graph is said to be stronglb connected if for each pair of vertices x and x. , there is a path from xi to x ~ If Z is a subset of X and TZ is the subfunction of I' from Z into Z, then G'(Z, "Z) is a subgz'aph of G. The bi-partite graph G(X, Y...
Revisiting Interval Graphs for Network Science
Loe, Chuan Wen
2015-01-01T23:59:59.000Z
The vertices of an interval graph represent intervals over a real line where overlapping intervals denote that their corresponding vertices are adjacent. This implies that the vertices are measurable by a metric and there exists a linear structure in the system. The generalization is an embedding of a graph onto a multi-dimensional Euclidean space and it was used by scientists to study the multi-relational complexity of ecology. However the research went out of fashion in the 1980s and was not revisited when Network Science recently expressed interests with multi-relational networks known as multiplexes. This paper studies interval graphs from the perspective of Network Science.
From graphs to signals and back: Identification of graph structures using spectral analysis
Hamon, Ronan; Flandrin, Patrick; Robardet, Cline
2015-01-01T23:59:59.000Z
Many systems comprising entities in interactions can be represented as graphs, whose structure gives significant insights about how these systems work. Network theory has undergone further developments, in particular in relation to detection of communities in graphs, to catch this structure. Recently, an approach has been proposed to transform a graph into a collection of signals: Using a multidimensional scaling technique on a distance matrix representing relations between vertices of the graph, points in a Euclidean space are obtained and interpreted as signals, indexed by the vertices. In this article, we propose several extensions to this approach, developing a framework to study graph structures using signal processing tools. We first extend the current methodology, enabling us to highlight connections between properties of signals and graph structures, such as communities, regularity or randomness, as well as combinations of those. A robust inverse transformation method is next described, taking into ac...
Janssen, Jeannette C.M.
technique, web pages are often represented as vectors in a word-document space. Using Latent SematicA SPATIAL WEB GRAPH MODEL WITH LOCAL INFLUENCE REGIONS W. AIELLO, A. BONATO, C. COOPER, J. JANSSEN in [2, ) depending on the parameters, and with concentration for a wide range of in-degree values. We
Werner Trobin, May 26, 2004 The Boost Graph Library -p. 1/48 The Boost Graph Library
Werner Trobin, May 26, 2004 The Boost Graph Library - p. 1/48 The Boost Graph Library Generic Library Design Werner Trobin #12;Introduction The Boost Graph Library Demo References Werner Trobin, May 26, 2004 The Boost Graph Library - p. 2/48 Outline I Introduction to Boost I The Boost
Continuous-time quantum walks on star graphs
Salimi, S. [Department of Physics, University of Kurdistan, P.O. Box 66177-15175, Sanandaj (Iran, Islamic Republic of)], E-mail: shsalimi@uok.ac.ir
2009-06-15T23:59:59.000Z
In this paper, we investigate continuous-time quantum walk on star graphs. It is shown that quantum central limit theorem for a continuous-time quantum walk on star graphs for N-fold star power graph, which are invariant under the quantum component of adjacency matrix, converges to continuous-time quantum walk on K{sub 2} graphs (complete graph with two vertices) and the probability of observing walk tends to the uniform distribution.
Tillack, Mark
of radiation on absorptivity 3) surface temperature rise during the laser pulse 4) thermal fatigue resistance 5 laser optics. Figure 1. Current Design Concept for Al/SiC. MER has proposed a highly innovative solution is attached to the Si surface via brazing. The final optical quality of the mirror is accomplished via diamond
On semidefinite programming bounds for graph bandwidth
2011-05-24T23:59:59.000Z
May 24, 2011 ... the rectangular grid graph Pn Pm (i.e. the Cartesian product of the paths Pn and Pm) is min{n, m} [6] ...... Ars Combinatoria, 47:147-152, 1997.
Constant time algorithms in sparse graph model
Nguyen, Huy Ngoc, Ph. D. Massachusetts Institute of Technology
2010-01-01T23:59:59.000Z
We focus on constant-time algorithms for graph problems in bounded degree model. We introduce several techniques to design constant-time approximation algorithms for problems such as Vertex Cover, Maximum Matching, Maximum ...
Forced orientation of graphs Babak Farzad
Toronto, University of
Forced orientation of graphs Babak Farzad Mohammad Mahdian Ebad S. Mahmoodian Amin Saberi Bardia, USA. (saberi@cc.gatech.edu) Department of Computer Science, UIUC, Urbana, USA. (sadri@cs.uiuc.edu) 1
Support graph preconditioners for sparse linear systems
Gupta, Radhika
2005-02-17T23:59:59.000Z
. In this thesis, we develop support graph preconditioners for symmetric positive de?nite matrices that arise from the ?nite element discretization of elliptic partial di?erential equations. An object oriented code is developed for the construction, integration...
Fault-tolerant dynamic task graph scheduling
Kurt, Mehmet C.; Krishnamoorthy, Sriram; Agrawal, Kunal; Agrawal, Gagan
2014-11-16T23:59:59.000Z
In this paper, we present an approach to fault tolerant execution of dynamic task graphs scheduled using work stealing. In particular, we focus on selective and localized recovery of tasks in the presence of soft faults. We elicit from the user the basic task graph structure in terms of successor and predecessor relationships. The work stealing-based algorithm to schedule such a task graph is augmented to enable recovery when the data and meta-data associated with a task get corrupted. We use this redundancy, and the knowledge of the task graph structure, to selectively recover from faults with low space and time overheads. We show that the fault tolerant design retains the essential properties of the underlying work stealing-based task scheduling algorithm, and that the fault tolerant execution is asymptotically optimal when task re-execution is taken into account. Experimental evaluation demonstrates the low cost of recovery under various fault scenarios.
Projective representations from quantum enhanced graph symmetries
2015-03-11T23:59:59.000Z
Presently, we will label the edges of a graph by elements of a group ...... (a) Read off the matrix ? by putting the G label of a vertex onto the diagonal in the place.
Continuous Time Group Discovery in Dynamic Graphs
Miller, K; Eliassi-Rad, T
2010-11-04T23:59:59.000Z
With the rise in availability and importance of graphs and networks, it has become increasingly important to have good models to describe their behavior. While much work has focused on modeling static graphs, we focus on group discovery in dynamic graphs. We adapt a dynamic extension of Latent Dirichlet Allocation to this task and demonstrate good performance on two datasets. Modeling relational data has become increasingly important in recent years. Much work has focused on static graphs - that is fixed graphs at a single point in time. Here we focus on the problem of modeling dynamic (i.e. time-evolving) graphs. We propose a scalable Bayesian approach for community discovery in dynamic graphs. Our approach is based on extensions of Latent Dirichlet Allocation (LDA). LDA is a latent variable model for topic modeling in text corpora. It was extended to deal with topic changes in discrete time and later in continuous time. These models were referred to as the discrete Dynamic Topic Model (dDTM) and the continuous Dynamic Topic Model (cDTM), respectively. When adapting these models to graphs, we take our inspiration from LDA-G and SSN-LDA, applications of LDA to static graphs that have been shown to effectively factor out community structure to explain link patterns in graphs. In this paper, we demonstrate how to adapt and apply the cDTM to the task of finding communities in dynamic networks. We use link prediction to measure the quality of the discovered community structure and apply it to two different relational datasets - DBLP author-keyword and CAIDA autonomous systems relationships. We also discuss a parallel implementation of this approach using Hadoop. In Section 2, we review LDA and LDA-G. In Section 3, we review the cDTM and introduce cDTMG, its adaptation to modeling dynamic graphs. We discuss inference for the cDTM-G and details of our parallel implementation in Section 4 and present its performance on two datasets in Section 5 before concluding in Section 6.
2Cosmic Bar Graphs Galaxy Type
in the cluster are spirals? Problem 2 Gamma-ray bursts happen about once each day. The bar graph to the right there are 160 total galaxies, the fraction of spirals is 137/160 = 0.86, or equivalently 86%. Problem 2 Gamma-ray2Cosmic Bar Graphs 0 20 40 60 80 100 S E SB I Galaxy Type Number 0 200 400 600 800 1000 FB SB Burst
Accelerating semantic graph databases on commodity clusters
Morari, Alessandro; Castellana, Vito G.; Haglin, David J.; Feo, John T.; Weaver, Jesse R.; Tumeo, Antonino; Villa, Oreste
2013-10-06T23:59:59.000Z
We are developing a full software system for accelerating semantic graph databases on commodity cluster that scales to hundreds of nodes while maintaining constant query throughput. Our framework comprises a SPARQL to C++ compiler, a library of parallel graph methods and a custom multithreaded runtime layer, which provides a Partitioned Global Address Space (PGAS) programming model with fork/join parallelism and automatic load balancing over a commodity clusters. We present preliminary results for the compiler and for the runtime.
Graphs of subgroups of free groups
Louder, Larsen
2009-01-01T23:59:59.000Z
We construct an efficient model for graphs of finitely generated subgroups of free groups. Using this we give a very short proof of Dicks's reformulation of the strengthened Hanna Neumann Conjecture as the Amalgamated Graph Conjecture. In addition, we answer a question of Culler and Shalen on ranks of intersections in free groups. The latter has also been done independently by R. P. Kent IV.
Graph representation of protein free energy landscape
Li, Minghai; Duan, Mojie; Fan, Jue; Huo, Shuanghong, E-mail: shuo@clarku.edu [Gustaf H. Carlson School of Chemistry and Biochemistry, Clark University, 950 Main Street, Worcester, Massachusetts 01610 (United States)] [Gustaf H. Carlson School of Chemistry and Biochemistry, Clark University, 950 Main Street, Worcester, Massachusetts 01610 (United States); Han, Li [Department of Mathematics and Computer Science, Clark University, 950 Main Street, Worcester, Massachusetts 01610 (United States)] [Department of Mathematics and Computer Science, Clark University, 950 Main Street, Worcester, Massachusetts 01610 (United States)
2013-11-14T23:59:59.000Z
The thermodynamics and kinetics of protein folding and protein conformational changes are governed by the underlying free energy landscape. However, the multidimensional nature of the free energy landscape makes it difficult to describe. We propose to use a weighted-graph approach to depict the free energy landscape with the nodes on the graph representing the conformational states and the edge weights reflecting the free energy barriers between the states. Our graph is constructed from a molecular dynamics trajectory and does not involve projecting the multi-dimensional free energy landscape onto a low-dimensional space defined by a few order parameters. The calculation of free energy barriers was based on transition-path theory using the MSMBuilder2 package. We compare our graph with the widely used transition disconnectivity graph (TRDG) which is constructed from the same trajectory and show that our approach gives more accurate description of the free energy landscape than the TRDG approach even though the latter can be organized into a simple tree representation. The weighted-graph is a general approach and can be used on any complex system.
Intro Algo ring Arbitrary graphs Conclusion PING PONG IN DANGEROUS GRAPHS
Fondements et Applications, Universit Paris 7
Intro Algo ring Arbitrary graphs Conclusion PING PONG IN DANGEROUS GRAPHS Optimal Black Hole Search blocking and destroying any mobile agent entering it. Motivations : Site which is destroyed or dangerous blocking and destroying any mobile agent entering it. Motivations : Site which is destroyed or dangerous
A New Combinatorial Approach for Sparse Graph Problems
Blelloch, Guy E.
A New Combinatorial Approach for Sparse Graph Problems Guy E. Blelloch, Virginia Vassilevska- totic improvement over O(mn) for all pairs least common ancestors on directed acyclic graphs. 1
Outline of the talk Statistics on Graphs, Exponential Formula and
Poinsot, Laurent
Outline of the talk Statistics on Graphs, Exponential Formula and Combinatorial Physics G and Complexity" Laurent Poinsot Statistics on Graphs, Exponential Formula and Combinatorial Physics #12;Exponential Formula : Informal Version Ingredients for the exponential formula Partial commutative monoids
On perfect codes in Cartesian product of graphs Michel Mollard
Boyer, Edmond
] and others. The existence of perfect codes have also been proved in Towers of Hanoi graphs [6] and Sierpinski on the symmetric group Sn+1 thus are of order (n + 1)!. These families include star graphs, for which the existence
Codes on Graphs: Duality and MacWilliams Identities
Forney, G. David, Jr.
A conceptual framework involving partition functions of normal factor graphs is introduced, paralleling a similar recent development by Al-Bashabsheh and Mao. The partition functions of dual normal factor graphs are shown ...
Generating Random Graphs with Large Girth Mohsen Bayati
Saberi, Amin
Generating Random Graphs with Large Girth Mohsen Bayati Andrea Montanari Amin Saberi Abstract We; saberi@stanford.edu. 1 #12;free graphs are close to bipartite. We show that our new algorithm guarantees
GARNET : a Graphical Attack graph and Reachability Network Evaluation Tool
Williams, Leevar (Leevar Christoff)
2008-01-01T23:59:59.000Z
Attack graphs are valuable tools in the assessment of network security, revealing potential attack paths an adversary could use to gain control of network assets. Creating an effective visualization for attack graphs is ...
Scalable Parallel Algorithms for Massive Scale-free Graphs
Pearce, Roger Allan
2013-12-05T23:59:59.000Z
, distributed, and external memory. This dissertation develops new techniques to parallelize the storage, computation, and communication for scale-free graphs with high-degree vertices. Our work facilitates the processing of large real-world graph datasets...
Scalable Parallel Algorithms for Massive Scale-free Graphs
Pearce, Roger Allan
2013-12-05T23:59:59.000Z
, distributed, and external memory. This dissertation develops new techniques to parallelize the storage, computation, and communication for scale-free graphs with high-degree vertices. Our work facilitates the processing of large real-world graph datasets...
Math 564 Graph Theory Fall 2008 Instructor Amites Sarkar
Sarkar, Amites
Math 564 Graph Theory Fall 2008 Instructor Amites Sarkar Text Pearls in Graph Theory (Dover Edition and Fridays, in 216 Bond Hall. My phone number is 650 7569 and my e-mail is amites.sarkar@wwu.edu #12;
Math 564 Graph Theory Fall 2013 Instructor Amites Sarkar
Sarkar, Amites
Math 564 Graph Theory Fall 2013 Instructor Amites Sarkar Text Modern Graph Theory B´ela Bollob, Tuesdays, Wednesdays and Fridays, in 216 Bond Hall. My phone number is 650 7569 and my e-mail is amites.sarkar
Johan Alwall; Michel Herquet; Fabio Maltoni; Olivier Mattelaer; Tim Stelzer
2011-06-02T23:59:59.000Z
MadGraph 5 is the new version of the MadGraph matrix element generator, written in the Python programming language. It implements a number of new, efficient algorithms that provide improved performance and functionality in all aspects of the program. It features a new user interface, several new output formats including C++ process libraries for Pythia 8, and full compatibility with FeynRules for new physics models implementation, allowing for event generation for any model that can be written in the form of a Lagrangian. MadGraph 5 builds on the same philosophy as the previous versions, and its design allows it to be used as a collaborative platform where theoretical, phenomenological and simulation projects can be developed and then distributed to the high-energy community. We describe the ideas and the most important developments of the code and illustrate its capabilities through a few simple phenomenological examples.
Problems of Distance-Regular Graphs Hiroshi Suzuki
Xi, Changchang
. Biggs, Algebraic Graph Theory Second Edition, Cambridge U. P., Cambridge 1993. [16] N. L. Biggs, A. G
The power graph of a group Peter J. Cameron
Burton, Geoffrey R.
; graphs are much looser. For example, there are only five different groups with eight elementsThe power graph of a group Peter J. Cameron Queen Mary, University of London LTCC Open Day, 8 January 2010 Groups and graphs A group is an algebraic structure: a set with a bi- nary operation
VGTL (Vienna Graph Template Library) Version 1.1
Schichl, Hermann
.1 Vienna Graph Template Library Modules Here is a list of all modules: Classes and types for external useVGTL (Vienna Graph Template Library) Version 1.1 Reference Manual Hermann Schichl University June 2003 #12;CONTENTS 1 Contents 1 Introduction 1 2 Vienna Graph Template Library Module Index 2 3
Mining Closed Relational Graphs with Connectivity Constraints X. Jasmine Zhou
Zhou, Xianghong Jasmine
Mining Closed Relational Graphs with Connectivity Constraints Xifeng Yan X. Jasmine Zhou Jiawei Han relational graphs, how to mine frequent highly connected subgraphs from it? ... G1 G2 Gn pattern Figure 1. Mining Massive Relational Graphs This new problem setting has three major characteristics different from
Inference of Edge Replacement Graph Grammars Jacek P. Kukluk1
Holder, Lawrence B.
Inference of Edge Replacement Graph Grammars Jacek P. Kukluk1 , Lawrence B. Holder2 , and Diane J@eecs.wsu.edu Abstract We describe an algorithm and experiments for inference of edge replacement graph grammars for inference of Node Replacement Recursive Graph Grammars [7]. In this paper we describe an approach
Optimal IDS Sensor Placement And Alert Prioritization Using Attack Graphs
Noel, Steven
1 Optimal IDS Sensor Placement And Alert Prioritization Using Attack Graphs Steven Noel and Sushil optimally place intrusion detection system (IDS) sensors and prioritize IDS alerts using attack graph. The set of all such paths through the network constitutes an attack graph, which we aggregate according
Improving Attack Graph Visualization through Data Reduction and Attack Grouping
Ou, Xinming "Simon"
Improving Attack Graph Visualization through Data Reduction and Attack Grouping John Homer1 Laboratory, USA Abstract. Various tools exist to analyze enterprise network systems and to produce attack graphs detailing how attackers might penetrate into the system. These attack graphs, however, are often
Cellular Algebras and Graph Invariants Based on Quantum Walks
Jamie Smith
2011-03-01T23:59:59.000Z
We consider two graph invariants inspired by quantum walks- one in continuous time and one in discrete time. We will associate a matrix algebra called a cellular algebra with every graph. We show that, if the cellular algebras of two graphs have a similar structure, then they are not distinguished by either of the proposed invariants.
Periodic schedules for Unitary Timed Weighted Event Graphs
Paris-Sud XI, Universit de
Event Graph model (TEG also called marked graphs [5]) and dataflow graphs, oftenly used in the computer questions are polynomially solved for ordinary TEG [1], [5], [6], [8]. In particular, it has been shown that if a TEG is live, there always exists a periodic schedule with the optimal throughput (i.e. with the same
Problems of Distance-Regular Graphs Hiroshi Suzuki
Xi, Changchang
328. [14] H. Suzuki, The Terwilliger algebra associated with a set of vertices in a distance-regular graph, J. Alg. Combin. 22 (2005), 5-38. [15] P. Terwilliger, Distance-regular graphs and (s, c, a, k)-graphs, J. Combin. Th. (B) 34 (1983), 151164. [16] P. Terwilliger, A new inequality for distance
StreamWorks - A system for Dynamic Graph Search
Choudhury, Sutanay; Holder, Larry; Chin, George; Ray, Abhik; Beus, Sherman J.; Feo, John T.
2013-06-11T23:59:59.000Z
Acting on time-critical events by processing ever growing social media, news or cyber data streams is a major technical challenge. Many of these data sources can be modeled as multi-relational graphs. Mining and searching for subgraph patterns in a continuous setting requires an efficient approach to incremental graph search. The goal of our work is to enable real-time search capabilities for graph databases. This demonstration will present a dynamic graph query system that leverages the structural and semantic characteristics of the underlying multi-relational graph.
Generalized Domination in Graphs with Applications in Wireless Networks
Sung, Je Sang
2013-12-10T23:59:59.000Z
]. Throughout this dissertation, we consider a finite, simple, undirected graph which is denoted by G = (V,E) where V = {1, 2, . . . , n} and (i, j) ? E when vertices i and j are joined by an edge with |E| = m. Order and size of a graph is the number of vertices... vertices. This definition also applies to a complete graph. Mengers theorem [79] is a basic result of connectivity in finite undirected graph. The vertex-connectivity version of Mengers theorem for a finite undirected graph G = (V,E) is the following...
Spectral statistics for scaling quantum graphs
Yu. Dabaghian
2006-08-09T23:59:59.000Z
The explicit solution to the spectral problem of quantum graphs is used to obtain the exact distributions of several spectral statistics, such as the oscillations of the quantum momentum eigenvalues around the average, $\\delta k_{n}=k_{n}-\\bar k_{n}$, and the nearest neighbor separations, $s_{n}=k_{n}-k_{n-1}$.
Graph-Theoretic Connectivity Control of Mobile
Pappas, George J.
][23]. This research has given rise to connectivity or topology control algorithms that regulate the transmission powerINVITED P A P E R Graph-Theoretic Connectivity Control of Mobile Robot Networks This paper develops an analysis for groups of vehicles connected by a communication network; control laws are formulated
Dominating Set on Bipartite Graphs Mathieu Liedloff
Liedloff, Mathieu
.5263n ) time algorithm using polynomial space and an O(1.5137n ) time algorithm using exponential space ) time and polynomial space algorithm, and an O(1.5063n ) time algorithm that uses exponential space. We]). Known results. Given a graph G = (V, E), a subset D V is a dominating set of G if every vertex of V
Quantum secret sharing with qudit graph states
Keet, Adrian; Fortescue, Ben; Sanders, Barry C. [Institute for Quantum Information Science, University of Calgary, Alberta, T2N 1N4 (Canada); Markham, Damian [LTCI-CNRS, Telecom ParisTech, 37/39 rue Dareau, F-75014 Paris (France)
2010-12-15T23:59:59.000Z
We present a unified formalism for threshold quantum secret sharing using graph states of systems with prime dimension. We construct protocols for three varieties of secret sharing: with classical and quantum secrets shared between parties over both classical and quantum channels.
Flexible Layered Authentication Graph for Multimedia Streaming
Sun, Qibin
With the increasing demand on multimedia streaming in more and more applications, security issues such as integrity side, lost packets are dropped from the graph and a packet is verifiable if it has a path and all subsequent packets become not verifiable. EMSS [4] makes a great improvement by building multiple
Lessons 6 Graphs of Functional Models
2013-08-30T23:59:59.000Z
Aug 30, 2013 ... One of the problems (#1) illustrates the principle of supply and demand, ... All of the problems involve building up a function model (see Lesson 5) ... Granite Management rents out several apartment complexes in the .... Side. 0.001 per cm2. Bottom. 0.005 per cm2. Lessons 6 Graphs of Functional Models.
Line graphs e contrazioni: un approccio rigoroso alla space syntax
D'Autilia, Roberto
2015-01-01T23:59:59.000Z
The methods of the space syntax have been the subject of extensive discussion, and several techniques to identify the axis lines have been proposed. The space syntax can be represented in terms of line graph, a graphs defined on the edge of a given primary graph. By means of the line graph algorithms, a system of labels defined on the edges of the primary graph is transformed into a system of labels on the vertices of the line graph. The contraction of adjacent edges with the same label allows to build a more general graph than those generated with the methods of the space syntax. By means of the functions implemented in Mathematica is therefore possible to redefine the space syntax on any system of urban quantities (labels) and reproduce the results of the axial lines as a special case. As an example is discussed a possible application of the method to the urban noise analysis.
Functional Analysis Basics (FAB) Seminar Support Page Fall 2014: Meets TBA. Suggestions for FAB ... Hours: by appointment. Back to Carl Cowen's Home Page
Data-flow graphs as a model of parallel complexity
Campbell, M.L.
1987-01-01T23:59:59.000Z
A new model of parallel computation based on data-flow graphs is introduced, which is specifically oriented towards complexity theory. Data-flow graphs are capable of illustrating properties of synchronous, asynchronous, and nondeterministic computations. Sufficient conditions are derived for asynchronous data-flow graphs to be determinate, i.e., all possible computations are finite and yield the same result. For determinate graphs, it is shown that the synchronous computation is as fast as any asynchronous computation. An algorithm is presented that transforms a nondeterminate data-flow graphs into a synchronous determinate one. The basic data-flow graph idea is extended into a model with greater potential parallelism, called the Uniform Data Flow Graph Family (UDFGF) Model. It is proved that time and space for the UDFGF model are polynomially related to reversal and space for the Turing Machine model, in both the deterministic and nondeterministic cases. In addition to forming an abstract computational model, data-flow graphs are parallel programs for real multiprocessors. Given a data flow graph program and a multiprocessor, each node of the graph must be assigned to one of the processors. It is proved that this problem is intractable, and a practical algorithm to find approximate solutions for it is presented.
Crunching Large Graphs with Commodity Processors
Nelson, Jacob E.; Myers, Brandon D.; Hunter, Andrew H.; Briggs, Preston; Ceze, Luis; Ebeling, William C.; Grossman, Dan; Kahan, Simon H.; Oskin, Mark
2011-05-26T23:59:59.000Z
Crunching large graphs is the basis of many emerging appli- cations, such as social network analysis and bioinformatics. Graph analytics algorithms exhibit little locality and therefore present signi?cant performance challenges. Hardware multi- threading systems (e.g, Cray XMT) show that with enough concurrency, we can tolerate long latencies. Unfortunately, this solution is not available with commodity parts. Our goal is to develop a latency-tolerant system built out of commodity parts and mostly in software. The proposed system includes a runtime that supports a large number of lightweight contexts, full-bit synchronization and a memory manager that provides a high-latency but high-bandwidth global shared memory. This paper lays out the vision for our system, and justi?es its feasibility with a performance analysis of the run- time for latency tolerance.
Local semicircle law for random regular graphs
Roland Bauerschmidt; Antti Knowles; Horng-Tzer Yau
2015-05-26T23:59:59.000Z
We consider random $d$-regular graphs on $N$ vertices, with degree $d$ at least $(\\log N)^4$. We prove that the Green's function of the adjacency matrix and the Stieltjes transform of its empirical spectral measure are well approximated by Wigner's semicircle law, down to the optimal scale given by the typical eigenvalue spacing (up to a logarithmic correction). Aside from well-known consequences for the local eigenvalue distribution, this result implies the complete delocalization of all eigenvectors.
Dynamics of entanglement of bosonic modes on symmetric graphs
F. Ghahhari; V. Karimipour; R. Shahrokhshahi
2006-11-23T23:59:59.000Z
We investigate the dynamics of an initially disentangled Gaussian state on a general finite symmetric graph. As concrete examples we obtain properties of this dynamics on mean field graphs of arbitrary sizes. In the same way that chains can be used for transmitting entanglement by their natural dynamics, these graphs can be used to store entanglement. We also consider two kinds of regular polyhedron which show interesting features of entanglement sharing.
k-Boson Quantum Walks Do Not Distinguish Arbitrary Graphs
Jamie Smith
2010-04-01T23:59:59.000Z
In this paper, we define k-equivalence, a relation on graphs that relies on their associated cellular algebras. We show that a k-Boson quantum walk cannot distinguish pairs of graphs that are k- equivalent. The existence of pairs of k-equivalent graphs has been shown by Ponomarenko et al. [2, 6]. This gives a negative answer to a question posed by Gamble et al. [7].
Nodal Parity Invariants of Knotted Rigid Vertex Graphs
Kauffman, Louis H
2012-01-01T23:59:59.000Z
This paper introduces new invariants of rigid vertex graph embeddings by using non-local combinatorial information that is available at each graphical node. The new non-local information that we use in this paper involves parity in the Gauss code of the underlying graph. We apply these methods to graphs in classical and virtual knot theory, and we give formulations for applications to the topology of protein folding.
Nuclear Energy Page 570Page 570
Nuclear Energy Page 570Page 570 #12;Energy Supply and Conservation/ Nuclear Energy FY 2007;Energy Supply and Conservation/Nuclear Energy/ Overview FY 2007 Congressional Budget Energy Supply and Conservation Office of Nuclear Energy, Science and Technology Overview Appropriation Summary by Program
An efficient semidefinite programming relaxation for the graph ...
2012-08-28T23:59:59.000Z
can be computed efficiently for larger graphs that have suitable algebraic symmetry. For a comparison of the SDP bounds for the GEP, see [45]. While the GEP is...
Generating Random Graphs with Large Girth Mohsen Bayati
Montanari, Annamaria
Generating Random Graphs with Large Girth Mohsen Bayati Andrea Montanari Amin Saberi Abstract We for Computational and Mathematical Engineering, Stanford University; saberi@stanford.edu. knowledge
1. CONTRACT ID CODE PAGE OF PAGES
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Graph searching and a generalized parking function
Kostic, Dimitrije Nenad
2009-05-15T23:59:59.000Z
sequence (a1,a2,...,an) of non-negative integers for which there exists a permutation pi ?Sn such that 0 ?api(i) ?i?1 for all indexes i. In other words, if we choose a permutation pi such that api(1) ?api(2) ? ...? api(n) then we have (api(1),api(2),...,api... if at the end of this process we have removed all vertices from consideration. More formally, Proposition 7. A vertex function is a G-parking function if and only if there exists an ordering pi(1),pi(2),...,pi(n) of the vertices of a graph G such that for every...
OpenEI Community - Visualization Graph
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Resource Minimized Static Mapping and Dynamic Scheduling of SDF Graphs
Ha, Soonhoi
Resource Minimized Static Mapping and Dynamic Scheduling of SDF Graphs Jinwoo Kim, Tae-ho Shin than the previous approaches. Keywords-Mapping, buffer size minimization, SDF graph, dynamic scheduling a model-based approach based on SDF (synchronous data flow) model. Since the parallelism of an application
Synthesis of Parallel Hardware Implementations from Synchronous Dataflow Graph Specifications
of automated registertransfer level (RTL) VHDL code generation from synchronous dataflow (SDF) graph for mapping applications specified in SDF to parallel digital hardware implementations. Two styles synthesis from SDF graphs is presented. In order to minimize cost while meeting performance require ments
The Parallel BGL: A Generic Library for Distributed Graph Computations
Lumsdaine, Andrew
] and written in a style similar to the C++ Standard Template Library (STL) [38, 46], 1 #12;data types providedThe Parallel BGL: A Generic Library for Distributed Graph Computations Douglas Gregor and Andrew,lums}@osl.iu.edu Abstract This paper presents the Parallel BGL, a generic C++ library for distributed graph computation
Including Blind Students in Computer Science Through Access to Graphs
Young, R. Michael
Including Blind Students in Computer Science Through Access to Graphs Suzanne Balik, Sean Mealin SKetching tool, GSK, to provide blind and sighted people with a means to create, examine, and share graphs (node-link diagrams) in real-time. GSK proved very effective for one blind computer science student
EvoGraphDice : Interactive Evolution for Visual Analytics
Paris-Sud XI, Universit de
EvoGraphDice : Interactive Evolution for Visual Analytics Waldo Cancino, Nadia Boukhelifa, especially in frameworks like industrial design, decision making and visual analytics. Interactive Evolution visualization based on scatterplot matrices. EvoGraphDice interactively evolves com- pound additional dimensions
Understanding Complex Network Attack Graphs through Clustered Adjacency Matrices
Noel, Steven
Understanding Complex Network Attack Graphs through Clustered Adjacency Matrices Steven Noel}@gmu.edu Abstract We apply adjacency matrix clustering to network attack graphs for attack correlation, prediction, and hypothesizing. We self-multiply the clustered adjacency matrices to show attacker reachability across
Improving Attack Graph Visualization through Data Reduction and Attack Grouping
John Homer; Ashok Varikuti; Xinming Ou; Miles A. McQueen
2008-09-01T23:59:59.000Z
Various tools exist to analyze enterprise network systems and to produce attack graphs detailing how attackers might penetrate into the system. These attack graphs, however, are often complex and difficult to comprehend fully, and a human user may find it problematic to reach appropriate configuration decisions. This paper presents methodologies that can 1) automatically identify portions of an attack graph that do not help a user to understand the core security problems and so can be trimmed, and 2) automatically group similar attack steps as virtual nodes in a model of the network topology, to immediately increase the understandability of the data. We believe both methods are important steps toward improving visualization of attack graphs to make them more useful in configuration management for large enterprise networks. We implemented our methods using one of the existing attack-graph toolkits. Initial experimentation shows that the proposed approaches can 1) significantly reduce the complexity of attack graphs by trimming a large portion of the graph that is not needed for a user to understand the security problem, and 2) significantly increase the accessibility and understandability of the data presented in the attack graph by clearly showing, within a generated visualization of the network topology, the number and type of potential attacks to which each host is exposed.
Analogical Representation and Graph Comprehension Aidan Feeney and Lara Webber
comprehension make the assumption that viewers build up a wholly propositional description of the graph a scale of two different levels of a variable, one may extract information about the value of each level with the information presented in the graph. A is high on the scale B is low on the scale A is higher on the scale than
The Generic Graph Component Library Dr. Dobb's Journal September 2000
Lumsdaine, Andrew
.nd.edu, and lumsg@lsc.nd.edu, respectively. The Standard Template Library has established a solid foundation generic programming has to offer. In January, 1999, we did a survey of existing graph libraries. Some.mpi-sb.mpg.de/LEDA/leda.html), the Graph Template Library (GTL) (by Michael Forster, Andreas Pick, and Marcus Raitner, http
On the concurrent semantics of Algebraic Graph Grammars #
Baldan, Paolo
??a di Pisa, Italy baldan@dsi.unive.it andrea@di.unipi.it Abstract. Graph grammars are a powerful model. These semantics have served as basis for the development of a variety of modelling and verification techniques graph transformation systems as an alternative model of concurrency, extending Petri nets. The basic
Power Domination in Cylinders, Tori, and Generalized Petersen Graphs
Ferrero, Daniela - Department of Mathematics, Texas State University
of graphs by Haynes et al. in 2002 [7]. Indeed, an electrical power network can be modeled by a graph where for power system monitoring. The minimum cardi- nality of a PDS of G is its power domination number. INTRODUCTION Electric power companies need to monitor the state of their networks continually. The state
Hierarchical Remote Sensing Image Analysis via Graph Laplacian Energy
Zhou, Jun
1 Hierarchical Remote Sensing Image Analysis via Graph Laplacian Energy Zhang Huigang, Bai Xiao for an efficient image description, which may cause increased computational complexity. In this paper, we propose a new hierarchical segmentation method that applies graph Laplacian energy as a generic measure
SPATIAL POINT PROCESSES AND GRAPH BASED STATISTICAL FEATURES
Jyvskyl, University of
2010 2000 Mathematics Subject Classification. 60G55, 62-07, 62M30. ISSN 1457-9235 #12;SPATIAL POINT Classification. 60G55, 62-07, 62M30. 1 #12;Spatial point processes and graph based statistical features Tuomas library has been developed for the computation of the graph-based summaries. Keywords: Spatial point
Scaling Semantic Graph Databases in Size and Performance
Morari, Alessandro; Castellana, Vito G.; Villa, Oreste; Tumeo, Antonino; Weaver, Jesse R.; Haglin, David J.; Choudhury, Sutanay; Feo, John T.
2014-08-06T23:59:59.000Z
In this paper we present SGEM, a full software system for accelerating large-scale semantic graph databases on commodity clusters. Unlike current approaches, SGEM addresses semantic graph databases by only employing graph methods at all the levels of the stack. On one hand, this allows exploiting the space efficiency of graph data structures and the inherent parallelism of graph algorithms. These features adapt well to the increasing system memory and core counts of modern commodity clusters. On the other hand, however, these systems are optimized for regular computation and batched data transfers, while graph methods usually are irregular and generate fine-grained data accesses with poor spatial and temporal locality. Our framework comprises a SPARQL to data parallel C compiler, a library of parallel graph methods and a custom, multithreaded runtime system. We introduce our stack, motivate its advantages with respect to other solutions and show how we solved the challenges posed by irregular behaviors. We present the result of our software stack on the Berlin SPARQL benchmarks with datasets up to 10 billion triples (a triple corresponds to a graph edge), demonstrating scaling in dataset size and in performance as more nodes are added to the cluster.
Deciding Timed Bisimulation for Timed Automata Using Zone Valuation Graph
Prasad, Sanjiva
Deciding Timed Bisimulation for Timed Automata Using Zone Valuation Graph Shibashis Guha, Chinmay was first proved to be decidable for timed automata by Cerans using a product construction method on region graph. Several other methods have been proposed in the literature since then for decid- ing timed
Scalability Analysis of Partitioning Strategies for Finite Element Graphs. \\Lambda
Kumar, Vipin
Scalability Analysis of Partitioning Strategies for Finite Element Graphs. \\Lambda Grama Y. Ananth Y. Grama ananth@cs:umn:edu Abstract Issues of partitioning Finite Element Graphs are central for implementing the Finite Element Method (FEM). Parallel formulations of finite element techniques require
A Surface Reconstruction Method Using Global Graph Cut Optimization
Paris, Sylvain
SAR (China) 1 sparis@csail.mit.edu -- Sylvain Paris has worked on this project during his PhD at ARTIS calibrated images mainly has been approached using local methods, either as a continuous optimization problem of a pixel. Index Terms Graph flow, graph cut, 3D reconstruction from calibrated cameras, discontinuities
A Surface Reconstruction Method Using Global Graph Cut Optimization
Paris, Sylvain
SAR (China) 1sparis@csail.mit.edu Sylvain Paris has worked on this project during his PhD at ARTIS calibrated images mainly has been approached using local methods, either as a continuous optimization problem of a pixel. Index Terms Graph flow, graph cut, 3D reconstruction from calibrated cameras, discontinuities
A Surface Reconstruction Method Using Global Graph Cut Optimization
Paris-Sud XI, Université de
SAR (China) 1sparis@csail.mit.edu Sylvain Paris has worked on this project during his PhD at ARTIS reconstruction from multiple calibrated images mainly has been approached using local methods, either to 1/10th of a pixel. Index Terms Graph flow, graph cut, 3D reconstruction from calibrated cameras
Video Denoising and Simplification Via Discrete Regularization on Graphs
Paris-Sud XI, Universit de
Video Denoising and Simplification Via Discrete Regularization on Graphs Mahmoud Ghoniem, Youssef algorithms for video de- noising and simplification based on discrete regularization on graphs. The main difference between video and image denoising is the temporal redundancy in video sequences. Recent works
VIDEO SUMMARIZATION BY VIDEO STRUCTURE ANALYSIS AND GRAPH OPTIMIZATION
King, Kuo Chin Irwin
VIDEO SUMMARIZATION BY VIDEO STRUCTURE ANALYSIS AND GRAPH OPTIMIZATION Shi Lu, Irwin King video summarization method that combines video structure analysis and graph optimiza- tion. First, we analyze the structure of the video, find the boundaries of video scenes, then we calculate each scene
Albert R Meyer April 1, 2013 sexgraph.1 Graph Theory
Meyer, Albert R.
1 Albert R Meyer April 1, 2013 sexgraph.1 Graph Theory & Sex Albert R Meyer April 1, 2013 sexgraph women partners Albert R Meyer April 1, 2013 sexgraph.3 Sex in America: Men more Promiscuous? Studies this is nonsense Albert R Meyer April 1, 2013 sexgraph.4 M partners F Sex Partner Graph #12;2 Albert R Meyer April
An Introduction to Game Trees Ross Casebolt --Graph Theory
Laison, Josh
Ross Casebolt -- Graph Theory Lobsters vs Caterpillars! #12;What is a game? Definition (Game) A game G Theory Lobsters vs Caterpillars! #12;What is a game? Definition (Game) A game G must satisfy Ross Casebolt -- Graph Theory Lobsters vs Caterpillars! #12;What is a game? Definition (Game) A game G
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Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
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International energy indicators. [Statistical tables and graphs
Bauer, E.K. (ed.)
1980-05-01T23:59:59.000Z
International statistical tables and graphs are given for the following: (1) Iran - Crude Oil Capacity, Production and Shut-in, June 1974-April 1980; (2) Saudi Arabia - Crude Oil Capacity, Production, and Shut-in, March 1974-Apr 1980; (3) OPEC (Ex-Iran and Saudi Arabia) - Capacity, Production and Shut-in, June 1974-March 1980; (4) Non-OPEC Free World and US Production of Crude Oil, January 1973-February 1980; (5) Oil Stocks - Free World, US, Japan, and Europe (Landed, 1973-1st Quarter, 1980); (6) Petroleum Consumption by Industrial Countries, January 1973-December 1979; (7) USSR Crude Oil Production and Exports, January 1974-April 1980; and (8) Free World and US Nuclear Generation Capacity, January 1973-March 1980. Similar statistical tables and graphs included for the United States include: (1) Imports of Crude Oil and Products, January 1973-April 1980; (2) Landed Cost of Saudi Oil in Current and 1974 Dollars, April 1974-January 1980; (3) US Trade in Coal, January 1973-March 1980; (4) Summary of US Merchandise Trade, 1976-March 1980; and (5) US Energy/GNP Ratio, 1947 to 1979.
Noisy entanglement evolution for graph states
L. Aolita; D. Cavalcanti; R. Chaves; C. Dhara; L. Davidovich; A. Acin
2011-03-29T23:59:59.000Z
A general method for the study of the entanglement evolution of graph states under the action of Pauli was recently proposed in [Cavalcanti, et al., Phys. Rev. Lett. 103, 030502 (2009)]. This method is based on lower and upper bounds on the entanglement of the entire state as a function only of the state of a considerably-smaller subsystem, which undergoes an effective noise process. This provides a huge simplification on the size of the matrices involved in the calculation of entanglement in these systems. In the present paper we elaborate on this method in details and generalize it to other natural situations not described by Pauli maps. Specifically, for Pauli maps we introduce an explicit formula for the characterization of the resulting effective noise. Beyond Pauli maps, we show that the same ideas can be applied to the case of thermal reservoirs at arbitrary temperature. In the latter case, we discuss how to optimize the bounds as a function of the noise strength. We illustrate our ideas with explicit exemplary results for several different graphs and particular decoherence processes. The limitations of the method are also discussed.
Embeddings of Cubic Halin Graphs A Surface-by-Surface Inventory
Gross, Jonathan L.
Embeddings of Cubic Halin Graphs A Surface-by-Surface Inventory Jonathan L. Gross Columbia@cs.columbia.edu; http://www.cs.columbia.edu/gross/. 1 #12;Embeddings of Cubic Halin Graphs: An Inventory 2 1 graph for a 14-vertex tree with 8 leaves. #12;Embeddings of Cubic Halin Graphs: An Inventory 3
Interactive Visualization of Genealogical Graphs Michael J. McGuffin Ravin Balakrishnan
McGuffin, Michael J.
Interactive Visualization of Genealogical Graphs Michael J. McGuffin Ravin Balakrishnan Department of visualizing "family trees", or genealogi- cal graphs, in 2D, is considered. A graph theoretic analysis is given, which identifies why genealogical graphs can be difficult to draw. This motivates some novel
NPDA Transition Graphs To understand NPDAs, it is useful to have a visual representation. This
Bylander, Tom
NPDA Transition Graphs To understand NPDAs, it is useful to have a visual representation. This document introduces NPDA transition graphs. This type of graph extends the notation for DFA/NFA transition Edition, Addison-Wesley, 2001. In a DFA/NFA transition graph, there is an edge from vertex qi to vertex qj
Energy Models for Drawing Signed Graphs Anne-Marie Kermarrec and Afshin Moin
Paris-Sud XI, Universit de
by proposing a dual energy model for graphs containing uniquely negative edges, and combining it linearly
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Not Available
1986-05-01T23:59:59.000Z
The primary conclusion is that historically, and particularly in the last four months, the Northwest Stevens A4-A6 Sand waterflood has operated in a state of underinjection. Injection should immediately be increased as necessary to replace current reservoir withdrawals and, as soon as possible, injection rates should be increased to around 26,000 BWPD to accelerate the project and maximize its economic returns. Meanwhile, a MER value of 7243 barrels of oil per day is recommended for the remainder of 1986. This report contains backup data, tables, exhibits, and calculations to support the conclusions and recommendations that are presented. Appended items are included in Appendix Book 1 and Appendix Book 2. 20 figs.
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Energy Efficiency -- Home Page
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If you are having trouble, call 202-586-8800 for help. Home >Energy Users EEnergy Efficiency Page Energy-Efficiency Measurement MEASUREMENT DISCUSSION: Measures and Policy Issues...
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Geothermal Energy Holds Strong Presence at Renewable Energy World Conference Geothermal Energy Weekly, March 5, 2010 (Page 4) Oil Production Waste Stream: A Source of Electrical...
Mar 9, 2015 ... How to Get an Academic Job (Basic Skills Workshop) ICM Korea Satellite: ... Support Page for Functional Analysis Basics (FAB) Seminar...
includes a rooftop photovoltaic system, daylighting, natural ventilation, and a next-generation, energy efficient data center. 14 PAGE ORGANIZATIONAL RESPONSIBILITY AND...
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The elliptic dilogarithm for the sunset graph
Spencer Bloch; Pierre Vanhove
2014-10-24T23:59:59.000Z
We study the sunset graph defined as the scalar two-point self-energy at two-loop order. We evaluate the sunset integral for all identical internal masses in two dimensions. We give two calculations for the sunset amplitude; one based on an interpretation of the amplitude as an inhomogeneous solution of a classical Picard-Fuchs differential equation, and the other using arithmetic algebraic geometry, motivic cohomology, and Eisenstein series. Both methods use the rather special fact that the amplitude in this case is a family of periods associated to the universal family of elliptic curves over the modular curve X_1(6). We show that the integral is given by an elliptic dilogarithm evaluated at a sixth root of unity modulo periods. We explain as well how this elliptic dilogarithm value is related to the regulator of a class in the motivic cohomology of the universal elliptic family.
Well performance graph simplifies field calculations
De Ghetto, G.
1987-05-01T23:59:59.000Z
Graphic Methods are widely employed in order to understand overall well behavior using only surface parameters. The authors propose a new graphic method, used successfully by Agip for oil and gas wells in Italy, Libya, Nigeria and Tunisia. The well performance graph helps solve many production problems, including estimation of: inflow performance relationship; causes of rate decline throughout well life; and production rate and bottomhole flowing pressure for various pressures upstream of the surface choke, and vice-versa. This method differs from others by using flow behavior through the choke for both critical and subcritical conditions. Equations describing flow through the formation, string and surface choke are also used. Results are quite reliable when these theoretical equations are calibrated with field data, either from the well concerned or from nearby wells producing the same fluid. This article describes the technique as it applies to oil wells. The methodology for gas wells is similar.
Community detection in directed acyclic graphs
Speidel, Leo; Masuda, Naoki
2015-01-01T23:59:59.000Z
Some temporal networks, most notably citation networks, are naturally represented as directed acyclic graphs (DAGs). To detect communities in DAGs, we propose a modularity for DAGs by defining an appropriate null model (i.e., randomized network) respecting the order of nodes. We implement a spectral method to approximately maximize the proposed modularity measure and test the method on citation networks and other DAGs. We find that the attained values of the modularity for DAGs are similar for partitions that we obtain by maximizing the proposed modularity (designed for DAGs), the modularity for undirected networks and that for general directed networks. In other words, if we neglect the order imposed on nodes (and the direction of links) in a given DAG and maximize the conventional modularity measure, the obtained partition is close to the optimal one in the sense of the modularity for DAGs.
The Graph Laplacian and the Dynamics of Complex Networks
Thulasidasan, Sunil [Los Alamos National Laboratory
2012-06-11T23:59:59.000Z
In this talk, we explore the structure of networks from a spectral graph-theoretic perspective by analyzing the properties of the Laplacian matrix associated with the graph induced by a network. We will see how the eigenvalues of the graph Laplacian relate to the underlying network structure and dynamics and provides insight into a phenomenon frequently observed in real world networks - the emergence of collective behavior from purely local interactions seen in the coordinated motion of animals and phase transitions in biological networks, to name a few.
Specifying MultipleViewed Software Requirements With Conceptual Graphs Title Pages
Delugach, Harry S.
Planning Office. He was a computing analyst for the Department of Energy implementing a distributed engineering honor society Tau Beta Pi (VA A) in 1987, and is a member of the ACM and the IEEE Computer Society
Computing the stability number of a graph via semidefinite and ...
2006-04-27T23:59:59.000Z
then the vertices of G can be numbered so that E(G8) ? E(G ). Thus G8 is the smallest graph G such that ?(1)(G) > ?(G) = 3. We can extend the above reasoning...
Min-Max Theorems Related to Geometric Representationsof Graphs ...
Marcel K. de Carli Silva and Levent Tuncel
2011-08-06T23:59:59.000Z
Oct 27, 2010 ... 1. Introduction. Geometric representations of graphs is a beautiful area where combina- ..... We shall use the following construction to get hypersphere ...... This is not surprising, as SDP duality theory is more complex than LP.
Poster: -Graphs: Flexible Topology Control in Wireless Ad Hoc Networks
Williamson, Carey
Poster: -Graphs: Flexible Topology Control in Wireless Ad Hoc Networks Ashikur Rahman Department networks. Most algorithms strive to reduce energy consumption by cre- ating a sparse topology with few long of topologies and provides the flexibility to network
The competition number of a graph with exactly two holes
] as a means of deter- mining the smallest dimension of ecological phase space. Since then, various variations to ecology, the concept of competition graph can be applied to a variety of fields, as summarized in [11
The competition number of a graph with exactly two holes
] as a means of deter mining the smallest dimension of ecological phase space. Since then, various variations to ecology, the concept of competition graph can be applied to a variety of fields, as summarized in [11
Decoding linear codes via optimization and graph-based techniques
Taghavi, Mohammad H.
2008-01-01T23:59:59.000Z
2.2.1 Linear Codes on1.1.2 Graph-Based Codes 1.2 Dissertation Overview . . .versus the length of the code for (3,6)-regular LDPC codes (
MacWilliams identities for codes on graphs
Forney, G. David, Jr.
The MacWilliams identity for linear time-invariant convolutional codes that has recently been found by Gluesing-Luerssen and Schneider is proved concisely, and generalized to arbitrary group codes on graphs. A similar ...
Technology Portfolio Planning by Weighted Graph Analysis of System Architectures
de Weck, Olivier L.
Technology Portfolio Planning by Weighted Graph Analysis of System Architectures Peter Davison and Bruce Cameron Massachusetts Institute of Technology, Cambridge, MA 02139 Edward F. Crawley Skolkovo Institute of Science and Technology, Skolkovo 143025, Russia Abstract5 Many systems undergo significant
The Asymmetric Traveling Salesman Problem on Graphs with Bounded Genus
Saberi, Amin
Saberi Abstract We give a constant factor approximation algorithm for the asymmetric traveling salesman:{shayan, saberi}@stanford.edu. 1 #12;Thin trees were first defined in the graph embedding literature in an attempt
Random Walks with Lookahead in Power Law Random Graphs
Mihail, Milena
1 Random Walks with Lookahead in Power Law Random Graphs Milena Mihail Amin Saberi Prasad Tetali Georgia Institute of Technology Email: mihail, saberi @cc.gatech.edu tetali@math.cc.gatech.edu Abstract
Confluence in Data Reduction: Bridging Graph Transformation and Kernelization
Wichmann, Felix
Ermel Falk H¨uffner Rolf Niedermeier Olga Runge Institut f¨ur Softwaretechnik und Theoretische of critical pair analysis from graph transformation theory, supported by the AGG software tool. These results
Advanced Vulnerability Analysis and Intrusion Detection Through Predictive Attack Graphs
Noel, Steven
Advanced Vulnerability Analysis and Intrusion Detection Through Predictive Attack Graphs Steven, without considering how they contribute to overall attack risk. Similarly, intrusion alarms are logged threats, complexity of security data, and network growth. Our approach to network defense applies attack
Modeling modern network attacks and countermeasures using attack graphs
Ingols, Kyle W.
By accurately measuring risk for enterprise networks, attack graphs allow network defenders to understand the most critical threats and select the most effective countermeasures. This paper describes substantial enhancements ...
Fracture and Fragmentation of Simplicial Finite Elements Meshes using Graphs
Mota, A; Knap, J; Ortiz, M
2006-10-18T23:59:59.000Z
An approach for the topological representation of simplicial finite element meshes as graphs is presented. It is shown that by using a graph, the topological changes induced by fracture reduce to a few, local kernel operations. The performance of the graph representation is demonstrated and analyzed, using as reference the 3D fracture algorithm by Pandolfi and Ortiz [22]. It is shown that the graph representation initializes in O(N{sub E}{sup 1.1}) time and fractures in O(N{sub I}{sup 1.0}) time, while the reference implementation requires O(N{sub E}{sup 2.1}) time to initialize and O(N{sub I}{sup 1.9}) time to fracture, where NE is the number of elements in the mesh and N{sub I} is the number of interfaces to fracture.
Ranking Outlier Nodes in Subspaces of Attributed Graphs
Antwerpen, Universiteit
. Our graph outlier ranking (GOutRank) introduces scoring functions based on these selected subgraphs by looking at the most promising objects first. They 1http://www.ipd.kit.edu/~muellere/GOutRank/ allow users
Finding structural anomalies in graphs by means of quantum walks
Feldman, Edgar [Department of Mathematics, Graduate Center of the City University of New York, 365 Fifth Avenue, New York, New York 10016 (United States); Hillery, Mark; Zheng, Hongjun [Department of Physics, Hunter College of the City University of New York, 695 Park Avenue, New York, New York 10021 (United States); Lee, Hai-Woong [Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701 (Korea, Republic of); Reitzner, Daniel; Buzek, Vladimir [Research Center for Quantum Information, Slovak Academy of Sciences, Dubravska cesta 9, 845 11 Bratislava (Slovakia)
2010-10-15T23:59:59.000Z
We explore the possibility of using quantum walks on graphs to find structural anomalies, such as extra edges or loops, on a graph. We focus our attention on star graphs, whose edges are like spokes coming out of a central hub. If there are N spokes, we show that a quantum walk can find an extra edge connecting two of the spokes or a spoke with a loop on it in O({radical}(N)) steps. We initially find that if all except one of the spokes have loops, the walk will not find the spoke without a loop, but this can be fixed if we choose the phase with which the particle is reflected from the vertex without the loop. Consequently, quantum walks can, under some circumstances, be used to find structural anomalies in graphs.
Checking and Comparison of WB-Graphs Peter B. Ladkin
Ladkin, Peter B.
as a running comparison. These graphs were produced by beginners at WBA, namely students in the first semester. It also caused the trauma death of the co-pilot, as well as the loss of consciousness of a passenger, who
Local computation algorithms for graphs of non-constant degrees
Yodpinyanee, Anak
2014-01-01T23:59:59.000Z
In the model of local computation algorithms (LCAs), we aim to compute the queried part of the output by examining only a small (sublinear) portion of the input. Many recently developed LCAs on graph problems achieve time ...
Circuit and bond polytopes on series-parallel graphs$
2014-07-10T23:59:59.000Z
Jul 10, 2014 ... If G is a non trivial 2-connected series-parallel graph, an open nested ear decomposition ... no interior point of an ear Ei belongs to Ej for all j < i,.
Stirling numbers of graphs, and the normal ordering
Mayfield, John
Stirling numbers of graphs, and the normal ordering problem Galvin earned his PhD in mathematics correlations in discrete random structures. The Stirling number of the second kind ${n \\brace k}$ counts
On the limiting absorption principle and spectra of quantum graphs
Beng-Seong Ong
2005-10-10T23:59:59.000Z
The main result of the article is validity of the limiting absorption principle and thus absence of the singular continuous spectrum for compact quantum graphs with several infinite leads attached. The technique used involves Dirichlet-to-Neumann operators.
Paris-Sud XI, Université de
characterizations of sun graphs and broken sun graphs Romain Boulet Institut de Math´ematiques de Toulouse by their spectrum by considering some unicyclic graphs. An odd (resp. even) sun is a graph obtained by appending a pendant vertex to each vertex of an odd (resp. even) cycle. A broken sun is a graph obtained by deleting
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Office of Scientific and Technical Information (OSTI)
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Noisy entanglement evolution for graph states
Aolita, L; Chaves, R; Dhara, C; Davidovich, L; Acin, A
2010-01-01T23:59:59.000Z
A general method for the study of the entanglement evolution of graph states under the action of Pauli was recently proposed in [Cavalcanti, et al., Phys. Rev. Lett. 103, 030502 (2009)]. This method is based on lower and upper bounds on the entanglement of the entire state as a function only of the state of a considerably-smaller subsystem, which undergoes an effective noise process. This provides a huge simplification on the size of the matrices involved in the calculation of entanglement in these systems. In the present paper we elaborate on this method in details and generalize it to other natural situations not described by Pauli maps. Specifically, for Pauli maps we introduce an explicit formula for the characterization of the resulting effective noise. Beyond Pauli maps, we show that the same ideas can be applied to the case of thermal reservoirs at arbitrary temperature. In the latter case, we discuss how to optimize the bounds as a function of the noise strength. We illustrate our ideas with explicit ...
Quantum Vacuum Energy in Graphs and Billiards
L. Kaplan
2011-01-03T23:59:59.000Z
The vacuum (Casimir) energy in quantum field theory is a problem relevant both to new nanotechnology devices and to dark energy in cosmology. The crucial question is the dependence of the energy on the system geometry under study. Despite much progress since the first prediction of the Casimir effect in 1948 and its subsequent experimental verification in simple geometries, even the sign of the force in nontrivial situations is still a matter of controversy. Mathematically, vacuum energy fits squarely into the spectral theory of second-order self-adjoint elliptic linear differential operators. Specifically, one promising approach is based on the small-t asymptotics of the cylinder kernel e^(-t sqrt(H)), where H is the self-adjoint operator under study. In contrast with the well-studied heat kernel e^(-tH), the cylinder kernel depends in a non-local way on the geometry of the problem. We discuss some results by the Louisiana-Oklahoma-Texas collaboration on vacuum energy in model systems, including quantum graphs and two-dimensional cavities. The results may shed light on general questions, including the relationship between vacuum energy and periodic or closed classical orbits, and the contribution to vacuum energy of boundaries, edges, and corners.
Shore & Beach Vol. 80, No. 1 Winter 2012 Page 19 ravel spits generally have a high
Brest, Université de
Mer, Université de Brest, Technopôle Brest-Iroise, Place Nicolas Copernic, 29280 Plouzané, France
Shore & Beach Vol. 78, No. 1 Winter 2010 Page 37 oastal monitoring is considered as
Brest, Université de
Occidentale Institut Universitaire Européen de la Mer, Technopôle Brest-Iroise, Place Nicolas Copernic, 29280
Department of Mathematics: Course Page
... offered in Spring 2015. Past course pages are available here: ... ADA policies: please see our ADA Information page for more details. In the event of a missed...
Experimental entanglement of six photons in graph states
Chao-Yang Lu; Xiao-Qi Zhou; Otfried Ghne; Wei-Bo Gao; Jin Zhang; Zhen-Sheng Yuan; Alexander Goebel; Tao Yang; Jian-Wei Pan
2006-09-18T23:59:59.000Z
Graph states are special kinds of multipartite entangled states that correspond to mathematical graphs where the vertices take the role of quantum spin systems and the edges represent interactions. They not only provide an efficient model to study multiparticle entanglement, but also find wide applications in quantum error correction, multi-party quantum communication and most prominently, serve as the central resource in one-way quantum computation. Here we report the creation of two special instances of graph states, the six-photon Greenberger-Horne-Zeilinger states -- the largest photonic Schr\\"{o}dinger cat, and the six-photon cluster states-- a state-of-the-art one-way quantum computer. Flexibly, slight modifications of our method allow creation of many other graph states. Thus we have demonstrated the ability of entangling six photons and engineering multiqubit graph states, and created a test-bed for investigations of one-way quantum computation and studies of multiparticle entanglement as well as foundational issues such as nonlocality and decoherence.
A graph-based system for network-vulnerability analysis
Swiler, L.P.; Phillips, C.
1998-06-01T23:59:59.000Z
This paper presents a graph-based approach to network vulnerability analysis. The method is flexible, allowing analysis of attacks from both outside and inside the network. It can analyze risks to a specific network asset, or examine the universe of possible consequences following a successful attack. The graph-based tool can identify the set of attack paths that have a high probability of success (or a low effort cost) for the attacker. The system could be used to test the effectiveness of making configuration changes, implementing an intrusion detection system, etc. The analysis system requires as input a database of common attacks, broken into atomic steps, specific network configuration and topology information, and an attacker profile. The attack information is matched with the network configuration information and an attacker profile to create a superset attack graph. Nodes identify a stage of attack, for example the class of machines the attacker has accessed and the user privilege level he or she has compromised. The arcs in the attack graph represent attacks or stages of attacks. By assigning probabilities of success on the arcs or costs representing level-of-effort for the attacker, various graph algorithms such as shortest-path algorithms can identify the attack paths with the highest probability of success.
EMIS Quick User Guide Search page (details on page 2)
Barthelat, Francois
search terms in foreign languages You can enter search terms in foreign languages by: - Using your: Please note that we have a Cyrillic and Arabic keyboards available through the Search page. EnteringEMIS Quick User Guide Search page (details on page 2) The News page: Access the latest news
Zhao, Jun; Gligor, Virgil
2015-01-01T23:59:59.000Z
Random intersection graphs have received much interest and been used in diverse applications. They are naturally induced in modeling secure sensor networks under random key predistribution schemes, as well as in modeling the topologies of social networks including common-interest networks, collaboration networks, and actor networks. Simply put, a random intersection graph is constructed by assigning each node a set of items in some random manner and then putting an edge between any two nodes that share a certain number of items. Broadly speaking, our work is about analyzing random intersection graphs, and models generated by composing it with other random graph models including random geometric graphs and Erd\\H{o}s-R\\'enyi graphs. These compositional models are introduced to capture the characteristics of various complex natural or man-made networks more accurately than the existing models in the literature. For random intersection graphs and their compositions with other random graphs, we study properties su...
Semi-classical measures on Quantum graphs and the Gau map of the determinant manifold
Recanati, Catherine
believed that QE does not hold in general for a FIXED quantum graph. This is proved for star graphs in [BKW to what people do in several papers like [BG00, BKW04, BW08, Ba12, BB13]. Let
Math 497E/564 Graph Theory Winter 2012 Instructor Amites Sarkar
Sarkar, Amites
Math 497E/564 Graph Theory Winter 2012 Instructor Amites Sarkar Text Modern Graph Theory B, in 216 Bond Hall. My phone number is 650 7569 and my e-mail is amites.sarkar@wwu.edu #12;
Fast Search for Dynamic Multi-Relational Graphs
Choudhury, Sutanay; Holder, Larry; Chin, George; Feo, John T.
2013-06-23T23:59:59.000Z
Acting on time-critical events by processing ever growing social media or news streams is a major technical challenge. Many of these data sources can be modeled as multi-relational graphs. Continuous queries or techniques to search for rare events that typically arise in monitoring applications have been studied extensively for relational databases. This work is dedicated to answer the question that emerges naturally: how can we efficiently execute a continuous query on a dynamic graph? This paper presents an exact subgraph search algorithm that exploits the temporal characteristics of representative queries for online news or social media monitoring. The algorithm is based on a novel data structure called the that leverages the structural and semantic characteristics of the underlying multi-relational graph. The paper concludes with extensive experimentation on several real-world datasets that demonstrates the validity of this approach.
Asymptotic structure and singularities in constrained directed graphs
David Aristoff; Lingjiong Zhu
2015-02-17T23:59:59.000Z
We study the asymptotics of large directed graphs, constrained to have certain densities of edges and/or outward $p$-stars. Our models are close cousins of exponential random graph models (ERGMs), in which edges and certain other subgraph densities are controlled by parameters. The idea of directly constraining edge and other subgraph densities comes from Radin and Sadun. Such modeling circumvents a phenomenon first made precise by Chatterjee and Diaconis: that in ERGMs it is often impossible to independently constrain edge and other subgraph densities. In all our models, we find that large graphs have either uniform or bipodal structure. When edge density (resp. $p$-star density) is fixed and $p$-star density (resp. edge density) is controlled by a parameter, we find phase transitions corresponding to a change from uniform to bipodal structure. When both edge and $p$-star density are fixed, we find only bipodal structures and no phase transition.
Regular graphs maximize the variability of random neural networks
Gilles Wainrib; Mathieu Galtier
2014-12-17T23:59:59.000Z
In this work we study the dynamics of systems composed of numerous interacting elements interconnected through a random weighted directed graph, such as models of random neural networks. We develop an original theoretical approach based on a combination of a classical mean-field theory originally developed in the context of dynamical spin-glass models, and the heterogeneous mean-field theory developed to study epidemic propagation on graphs. Our main result is that, surprisingly, increasing the variance of the in-degree distribution does not result in a more variable dynamical behavior, but on the contrary that the most variable behaviors are obtained in the regular graph setting. We further study how the dynamical complexity of the attractors is influenced by the statistical properties of the in-degree distribution.
An improved spectral graph partitioning algorithm for mapping parallel computations
Hendrickson, B.; Leland, R.
1992-09-01T23:59:59.000Z
Efficient use of a distributed memory parallel computer requires that the computational load be balanced across processors in a way that minimizes interprocessor communication. We present a new domain mapping algorithm that extends recent work in which ideas from spectral graph theory have been applied to this problem. Our generalization of spectral graph bisection involves a novel use of multiple eigenvectors to allow for division of a computation into four or eight parts at each stage of a recursive decomposition. The resulting method is suitable for scientific computations like irregular finite elements or differences performed on hypercube or mesh architecture machines. Experimental results confirm that the new method provides better decompositions arrived at more economically and robustly than with previous spectral methods. We have also improved upon the known spectral lower bound for graph bisection.
Metric intersection problems in Cayley graphs and the Stirling recursion
Phongpattanacharoen, Teeraphong
2012-01-01T23:59:59.000Z
In the symmetric group Sym(n) with n at least 5 let H be a conjugacy class of elements of order 2 and let \\Gamma be the Cayley graph whose vertex set is the group G generated by H (so G is Sym(n) or Alt(n)) and whose edge set is determined by H. We are interested in the metric structure of this graph. In particular, for g\\in G let B_{r}(g) be the metric ball in \\Gamma of radius r and centre g. We show that the intersection numbers \\Phi(\\Gamma; r, g):=|\\,B_{r}(e)\\,\\cap\\,B_{r}(g)\\,| are generalized Stirling functions in n and r. The results are motivated by the study of error graphs and related reconstruction problems.
Graph Applications To know the Seven Bridges of Knigsberg problem and
Liang, Y. Daniel
the shortest distance between two cities can be modeled using a graph, where the vertices represent cities
Handling Context-Sensitivity in Protein Structures Using Graph Theory: Bona Fide Prediction
Samudrala, Ram
structure(s).5 METHODS General Description of the Graph-Theoretic Clique-Finding Approach Each possible
Exercise 1: part 1 p Consider the simple web graph shown in slide 72
Ricci, Francesco
the file and brose the content of the class directory p Transform the input graphs tiny.txt and medium
Sudan z Abstract We consider the problem of coloring kcolorable graphs with the fewest possible colors
Banaji,. Murad
Highly Connected Random Geometric Graphs Paul Balister #+ B??ela Bollob??as +#§ Amites Sarkar +¶ Mark
A Structure Theory of the Sandpile Monoid for Directed Graphs Laszlo Babai
Babai, László
A Structure Theory of the Sandpile Monoid for Directed Graphs L´aszl´o Babai Evelin Toumpakari June
of the mission is to measure x-ray polarization in pulsars, gamma-ray bursts, and solar flares. Mark Mc reinflated the balloon program. the Gamma-ray Polarimeter experiment or GraPe received $2 million from nasaH scientists and engineers created for the Compton Gamma-ray Observatory (CGrO). -- continued on page 3 In rock
#12;#12;#12;#12;#12;#12;page 1 1 Introduction Techniques to recover object shapes from reflectance. The sunlight can be regarded as yellow point light source whose movement is restricted to the ecliptic1 reflection components from the object surface. Reflection from object surfaces may have multiple 1. The great
Distributed Paging Yair Bartal
Bartal, Yair
. We survey distributed data management problems including distributed paging, file allocation fantastically on an annual basis. This survey deals with distributed data management problems. Such prob lems in distributed data management is the de sign of a dynamic allocation of file copies in a network in order
Aslaksen, Helmer
THE APPLICATIONS AND VALIDITY OF BODE'S LAW CAN WE EXPLAIN BODE'S LAW USING GRAVITY? 8 Law of Gravitation 8 Centre#12;#12;CONTENTS CONTENTS PAGE INTRODUCTION WHO, HOW AND WHEN IS THE BODE'S LAW DISCOVERED? 1 THE BODE'S LAW HOW THE BODE'S LAW SATISFIED URANUS 3 HOW THE BODE'S LAW LED TO THE DISCOVERY OF CERES
Bounds for mixing time of quantum walks on finite graphs
Vladislav Kargin
2010-07-21T23:59:59.000Z
Several inequalities are proved for the mixing time of discrete-time quantum walks on finite graphs. The mixing time is defined differently than in Aharonov, Ambainis, Kempe and Vazirani (2001) and it is found that for particular examples of walks on a cycle, a hypercube and a complete graph, quantum walks provide no speed-up in mixing over the classical counterparts. In addition, non-unitary quantum walks (i.e., walks with decoherence) are considered and a criterion for their convergence to the unique stationary distribution is derived.
Leaf-to-leaf distances in Catalan tree graphs
Andrew M. Goldsborough; Jonathan M. Fellows; Matthew Bates; S. Alex Rautu; George Rowlands; Rudolf A. Rmer
2015-03-02T23:59:59.000Z
We study the average leaf-to-leaf path lengths on ordered Catalan tree graphs with $n$ nodes and show that these are equivalent to the average length of paths starting from the root node. We give an explicit analytic formula for the average leaf-to-leaf path length as a function of separation of the leaves and study its asymptotic properties. At the heart of our method is a strategy based on an abstract graph representation of generating functions which we hope can be useful also in other contexts.
Vacuum Energy and Repulsive Casimir Forces in Quantum Star Graphs
S. A. Fulling; L. Kaplan; J. H. Wilson
2007-03-27T23:59:59.000Z
Casimir pistons are models in which finite Casimir forces can be calculated without any suspect renormalizations. It has been suggested that such forces are always attractive, but we present several counterexamples, notably a simple type of quantum graph in which the sign of the force depends upon the number of edges. We also show that Casimir forces in quantum graphs can be reliably computed by summing over the classical orbits, and study the rate of convergence of the periodic orbit expansion. In generic situations where no analytic expression is available, the sign and approximate magnitude of Casimir forces can often be obtained using only the shortest classical orbits.
Between automation and exploration: SAS graphing techniques for visualization of survey data
Yu, Alex
Between automation and exploration: SAS graphing techniques for visualization of survey data Chong of survey data. There is always a tension between automation and exploration. Automation is a common to automate the graphing processes via SAS/Macros and SAS/Graph. However, hidden patterns of the data may
Message-passing for Inference and Optimization of Real Variables on Sparse Graphs
Wong, Michael K Y
Message-passing for Inference and Optimization of Real Variables on Sparse Graphs K. Y. Michael with extensive inter-dependencies among the variables, the graph-based models can be solved by passing messages between neighbouring variables on the graphs. This message-passing approach has gained recent success
Rapid Multipole Graph Drawing on the GPU Apeksha Godiyal*, Jared Hoberock*, Michael Garland
Garland, Michael
Rapid Multipole Graph Drawing on the GPU Apeksha Godiyal*, Jared Hoberock*, Michael Garland task of drawing large graphs. This paper describes a new parallel anal- ysis of the multipole method of graph drawing to support its efficient GPU implementation. We use a variation of the Fast Multipole
Noel, Steven
Multiple Coordinated Views for Network Attack Graphs Steven Noel Michael Jacobs Pramod Kalapa graph-based representations have been developed for modeling combinations of low-level network attacks, relatively little attention has been paid to effective techniques for visualizing such attack graphs
THE MATCHING ENERGY OF A GRAPH IVAN GUTMAN AND STEPHAN WAGNER
Wagner, Stephan
) was obtained [4, 13, 20], and recalling the definition of graph energy, Eq. (2), we straightforwardly arrive at. Then, (5) ME(G) = n i=1 |µi|. Eq. (5) could be considered as the definition of matching energyTHE MATCHING ENERGY OF A GRAPH IVAN GUTMAN AND STEPHAN WAGNER Abstract. The energy of a graph G
Effective Graph Classification Based on Topological and Label Attributes , Murat Semerci2
Zaki, Mohammed Javeed
online 12 June 2012 in Wiley Online Library (wileyonlinelibrary.com). Abstract: Graph classificationEffective Graph Classification Based on Topological and Label Attributes Geng Li1 , Murat Semerci2 propose an alternative approach to graph classification that is based on feature vectors constructed from
The smallest k-regular h-edge-connected graphs without , Douglas B. West
West, Douglas B.
-regular graph with no cut-edge has a 1-factor. This has many generalizations. Showing that every kThe smallest k-regular h-edge-connected graphs without 1-factors John Ganci , Douglas B. West March-regular (k - 1)-edge-connected graph of even order has a 1-factor is a standard elementary exercise (#3
Loops in Reeb Graphs of 2-Manifolds Kree Cole-McLaughlin
Pascucci, Valerio
-resolution versions of the Reeb graph have lead to data-base search methods for topologically similar geo- metric and scientific data. Specifically, we study Reeb graphs, which express the connectivity of level sets. These graphs have been used in the past to con- struct data structures and user-interfaces for modeling
Tighter Bounds for Graph Steiner Tree Approximation Gabriel Robins
Zelikovsky, Alexander
of Computer Science, University of Virginia, Charlottesville, VA 22904 robins@cs.virginia.edu, www.cs.virginia of 1.28 within time O(mn2) (m and n are the numbers of terminals and non-terminals in the graph
Evaluation of Multimodal Graphs for Blind People , STEPHEN BREWSTER
Williamson, John
sense on people's fingers. Tactile diagrams exist in many forms and they mainly differEvaluation of Multimodal Graphs for Blind People WAI YU 1 , STEPHEN BREWSTER 2 1 Virtual visualisation system and its evaluations. This system is designed to improve blind and visually impaired people
Synchronization Helps Robots to Detect Black Holes in Directed Graphs
Pinotti, Maria Cristina
nodes are the so called black hole nodes, and once a robot enters in one of them, it is destroyed supported by the Italian CNR Short-Term Mobility Program. #12;1 Introduction The subject of exploring that destroy any entering entity. Such nodes are called black holes, and the exploration of a graph
The TROPOS Analysis Process as Graph Transformation System Paolo Bresciani
Trento-Povo, Italy Abstract Tropos is an agent-oriented methodology that covers soft- ware developmentThe TROPOS Analysis Process as Graph Transformation System Paolo Bresciani ITC-irst via Sommarive of the operational environment of the new software system. In earlier work we have characterized the process of early
Approximating the Diameter of Planar Graphs in Near Linear Time
Yuster, Raphael
common starting vertex. Let Gin (resp. Gout) be the subgraph of G induced by C and all interior (resp. exterior) vertices to C. Let d(Gin, Gout, G) denote the largest distance in the graph G between a marked vertex in V (Gin) and a marked vertex in V (Gout). In the beginning, all vertices of G are marked and we
Quantitative Analysis of the Full Bitcoin Transaction Graph
Quantitative Analysis of the Full Bitcoin Transaction Graph Dorit Ron and Adi Shamir Department.ron,adi.shamir}@weizmann.ac.il Abstract. The Bitcoin scheme is a rare example of a large scale global payment system in which all and how they spend their bitcoins, the balance of bitcoins they keep in their accounts, and how they move
A spectral graph based approach to analyze hyperspectral data
Bertozzi, Andrea L.
A spectral graph based approach to analyze hyperspectral data Blake Hunter Department of Mathematics, UCLA 520 Portola Plaza Los Angeles, CA 90095 Email: blakehunter@math.ucla.edu Yifei Lou Department of Mathematics, UCLA 520 Portola Plaza Los Angeles, CA 90095 Email: bertozzi
Brain Mapping Using Topology Graphs Obtained by Surface Segmentation
Linsen, Lars
Brain Mapping Using Topology Graphs Obtained by Surface Segmentation Fabien Vivodtzev1 , Lars@ucdavis.edu Summary. Brain mapping is a technique used to alleviate the tedious and time- consuming process of annotating brains by mapping existing annotations from brain atlases to individual brains. We introduce
Asymmetric Structure-Preserving Subgraph Queries for Large Graphs
Choi, Byron "Koon Kau"
Asymmetric Structure-Preserving Subgraph Queries for Large Graphs Zhe Fan1 Byron Choi1 Jianliang Xu the novel cyclic group based encryption so that query processing is transformed into a series of private are effective. I. INTRODUCTION Subgraph queries (via subgraph isomorphism) are a fun- damental and powerful
A Simple Approach to Abductive Inference using Conceptual Graphs
Pagnucco, Maurice
A Simple Approach to Abductive Inference using Conceptual Graphs Maurice Pagnucco Knowledge Systems, Australia. email: morri@cs.su.oz.au fax : +6126923838 Abstract Abductive reasoning (or simply abduction) is a form of logical in ference that aims to derive plausible explanations for data. The term ``abduction
A Numerical Optimization Approach to General Graph Drawing
Paul Heckbert Bruce Maggs Omar Ghattas, Civil and Environmental Engineering Mark Wegman, IBM T . J Maggs, and Mark Wegman. I am especially grateful that they allowed me to pursue a dissertation. I owe my interest in graph drawing to Mark Wegman, who introduced me to the area when I was an MIT
Unicyclic graphs with large energy Eric Ould Dadah Andriantiana 1
Wagner, Stephan
of Mathematical Sciences Mathematics Division Stellenbosch University Private Bag X1, Matieland 7602 South Africa work supported by the National Research Foundation of South Africa under grant number 70560. PreprintUnicyclic graphs with large energy Eric Ould Dadah Andriantiana 1 and Stephan Wagner 2 Department
Spectral Decision Diagrams Using Graph Transformations Mitchell Thornton Rolf Drechsler
Thornton, Mitchell
Spectral Decision Diagrams Using Graph Transformations #3; Mitchell Thornton Rolf Drechsler Department of Electrical and Computer Engineering Siemens AG Mississippi State University Corporate Technology Mississippi State, MS 39762 81730 Munich, Germany mitch@ece.msstate.edu rolf.drechsler@mchp.siemens
Table of Contents Part 1: Climate Graphs Activity
. Quantity. How much precipitation falls? What is the general trend east to west in Texas concerningTable of Contents Part 1: Climate Graphs Activity Part 2: Texas Climate Handout Maps for transparencies: a. Texas Average Annual Temperature b. Texas Average Annual Precipitation c. Texas Climate
An Approach to Security Policy Configuration Using Semantic Threat Graphs
Foley, Simon
An Approach to Security Policy Configuration Using Semantic Threat Graphs Simon N. Foley, in turn, unnecessarily expose the enterprise to known threats. This paper pro- poses a threat management- nomic configuration of security mechanisms. This knowledge is mod- eled in terms of Semantic Threat
Insider Threat Detection using Stream Mining and Graph Mining
Hamlen, Kevin W.
Insider Threat Detection using Stream Mining and Graph Mining Pallabi Parveen, Jonathan Evans threats who attempt to conceal their activities by varying their behaviors over time. This paper applies of insider threat detection, demonstrating that the ensemble-based approach is significantly more effective
Decentralized Semantic Threat Graphs Simon N. Foley1
Foley, Simon
Decentralized Semantic Threat Graphs Simon N. Foley1 William M. Fitzgerald1 Cork Constraint.foley@cs.ucc.ie wfitzgerald@4c.ucc.ie Abstract. Threat knowledge-bases such as those maintained by MITRE and NIST provide a basis with which to mitigate known threats to an enterprise. These centralised knowledge-bases assume
Weighted Graph Cuts without Eigenvectors: A Multilevel Approach
to handle data that is not linearly separable; spectral clustering and kernel k-means are two of the main different methods--in particular, a general weighted kernel k-means objective is mathematically equivalent multilevel algorithm removes this restriction by using kernel k-means to optimize weighted graph cuts
Graph Based K-Means Clustering Laurent Galluccioa,c
Paris-Sud XI, Universit de
Graph Based K-Means Clustering Laurent Galluccioa,c , Olivier Michelb , Pierre Comona , Alfred O the generalized Lloyd algorithm, also known as k-means, which circumvents its well known initialization problems for estimating of the number of clusters present and determining good centroid locations to initialize the k-means
Mining Large Graphs And Streams Using Matrix And Tensor Tools
Kolda, Tamara G.
RESULTS The graphs at right show overall variability distribution estimated for the Pentium D 800 where a core no longer works properly. In the Sun T1 Niagara cores this is done with a built-in- self processors we record the temperature at which the failure occurred and adjust to the frequencies
Towards Efficient Query Processing on Massive Time-Evolving Graphs
Miller, John A.
Email: {ar, ara, laks, jam}@cs.uga.edu Abstract--Time evolving graph (TEG) is increasingly being used on massive TEGs is central to building powerful analytic applications for these domains. Unfortunately effective for processing massive TEGs. Towards designing scalable mechanisms for answering TEG queries
Distanceregular graphs having an eigenvalue of small multiplicity
Martin, Bill
, results of Godsil [12] and Terwilliger [19], to allow computer generation of all feasible intesection of Godsil and Terwilliger and on results in this paper, we now have the diameter bound d Ÿ 3m \\Gamma 8 for m of graph representa tions is outlined, theorems of Godsil and Terwilliger are stated and several
On the edgeconnectivity of Cartesian product graphs # Sandi Klavzar
Klavzar, Sandi
edge cut of G#H, then either S is induced by a minimum edge cut of a factor, or S is a set of edges is given and the structure of minimum edge cuts is described. It is also proved that the connectivity product of graphs; edgeconnectivity; minimum edge cuts; AMS subject classification (2000): 05C40 1
Spectra of graphs and semi-conducting polymers
Philipp Schapotschnikow; Sven Gnutzmann
2008-02-04T23:59:59.000Z
We study the band gap in some semi-conducting polymers with two models: H\\"uckel molecular orbital theory and the so-called free electron model. The two models are directly related to spectral theory on combinatorial and metric graphs.
Secret sharing schemes on graphs L aszl o Csirmaz
Csirmaz, Lszl
Secret sharing schemes on graphs L#19;aszl#19;o Csirmaz Mathematical Institute of the Hungarian secret sharing scheme based on G is a method to distribute a secret data among the vertices of G, the participants, so that a subset of participants can recover the secret if they contain an edge of G, otherwise
On Linear Secret Sharing for Connectivity in Directed Graphs
Beimel, Amos
On Linear Secret Sharing for Connectivity in Directed Graphs Amos Beimel 1 and Anat Paskin 2 1 Dept, Israel. Abstract. In this work we study linear secret sharing schemes for st connectivity in directed.e., edges) can reconstruct the secret if it contains a path from node s to node t. We prove that in every
On Linear Secret Sharing for Connectivity in Directed Graphs
Beimel, Amos
On Linear Secret Sharing for Connectivity in Directed Graphs Amos Beimel1 and Anat Paskin2 1 Dept, Israel. Abstract. In this work we study linear secret sharing schemes for s-t connectivity in directed.e., edges) can reconstruct the secret if it contains a path from node s to node t. We prove that in every
(Co)Algebraic Characterizations of Signal Flow Graphs
Rutten, Jan
Signal flow graphs are a graphical representation for the analysis, modeling and evaluation of linear as a linear combination of the input and the registers. That is, the dynamics of a circuit can be expressed as a system of linear of equations, one for each register. Since we consider open circuits, the corresponding
THE GROUP OF SYMMETRIES OF THE TOWER OF HANOI GRAPH
Behrstock, Jason
THE GROUP OF SYMMETRIES OF THE TOWER OF HANOI GRAPH SO EUN PARK The classical Tower of Hanoi puzzle the tower of disks to another peg, moving one topmost disk at a time while never stacking a disk referred to as the Tower of Hanoi problem. Figure 1. Convention for labeling k pegs and n disks
A graph-based network-vulnerability analysis system
Swiler, L.P.; Phillips, C.; Gaylor, T.
1998-05-03T23:59:59.000Z
This paper presents a graph based approach to network vulnerability analysis. The method is flexible, allowing analysis of attacks from both outside and inside the network. It can analyze risks to a specific network asset, or examine the universe of possible consequences following a successful attack. The analysis system requires as input a database of common attacks, broken into atomic steps, specific network configuration and topology information, and an attacker profile. The attack information is matched with the network configuration information and an attacker profile to create a superset attack graph. Nodes identify a stage of attack, for example the class of machines the attacker has accessed and the user privilege level he or she has compromised. The arcs in the attack graph represent attacks or stages of attacks. By assigning probabilities of success on the arcs or costs representing level of effort for the attacker, various graph algorithms such as shortest path algorithms can identify the attack paths with the highest probability of success.
A graph-based network-vulnerability analysis system
Swiler, L.P.; Phillips, C. [Sandia National Labs., Albuquerque, NM (United States); Gaylor, T. [3M, Austin, TX (United States). Visual Systems Div.
1998-01-01T23:59:59.000Z
This report presents a graph-based approach to network vulnerability analysis. The method is flexible, allowing analysis of attacks from both outside and inside the network. It can analyze risks to a specific network asset, or examine the universe of possible consequences following a successful attack. The analysis system requires as input a database of common attacks, broken into atomic steps, specific network configuration and topology information, and an attacker profile. The attack information is matched with the network configuration information and an attacker profile to create a superset attack graph. Nodes identify a stage of attack, for example the class of machines the attacker has accessed and the user privilege level he or she has compromised. The arcs in the attack graph represent attacks or stages of attacks. By assigning probabilities of success on the arcs or costs representing level-of-effort for the attacker, various graph algorithms such as shortest-path algorithms can identify the attack paths with the highest probability of success.
Paris-Sud XI, Universit de
only a subset of its neighborhood by keeping connectivity. Then, a node adjusts its range for scalability and energy efficiency. It is often based on graph reduction performed through the use of Gabriel Graph or Relative Neighborhood Graph. This graph reduction is usually based on geometric values
Constructing and sampling graphs with a given joint degree distribution.
Pinar, Ali; Stanton, Isabelle (UC Berkeley)
2010-09-01T23:59:59.000Z
One of the most influential recent results in network analysis is that many natural networks exhibit a power-law or log-normal degree distribution. This has inspired numerous generative models that match this property. However, more recent work has shown that while these generative models do have the right degree distribution, they are not good models for real life networks due to their differences on other important metrics like conductance. We believe this is, in part, because many of these real-world networks have very different joint degree distributions, i.e. the probability that a randomly selected edge will be between nodes of degree k and l. Assortativity is a sufficient statistic of the joint degree distribution, and it has been previously noted that social networks tend to be assortative, while biological and technological networks tend to be disassortative. We suggest understanding the relationship between network structure and the joint degree distribution of graphs is an interesting avenue of further research. An important tool for such studies are algorithms that can generate random instances of graphs with the same joint degree distribution. This is the main topic of this paper and we study the problem from both a theoretical and practical perspective. We provide an algorithm for constructing simple graphs from a given joint degree distribution, and a Monte Carlo Markov Chain method for sampling them. We also show that the state space of simple graphs with a fixed degree distribution is connected via end point switches. We empirically evaluate the mixing time of this Markov Chain by using experiments based on the autocorrelation of each edge. These experiments show that our Markov Chain mixes quickly on real graphs, allowing for utilization of our techniques in practice.
LDRD final report : first application of geospatial semantic graphs to SAR image data.
Brost, Randolph C.; McLendon, William Clarence,
2013-01-01T23:59:59.000Z
Modeling geospatial information with semantic graphs enables search for sites of interest based on relationships between features, without requiring strong a priori models of feature shape or other intrinsic properties. Geospatial semantic graphs can be constructed from raw sensor data with suitable preprocessing to obtain a discretized representation. This report describes initial work toward extending geospatial semantic graphs to include temporal information, and initial results applying semantic graph techniques to SAR image data. We describe an efficient graph structure that includes geospatial and temporal information, which is designed to support simultaneous spatial and temporal search queries. We also report a preliminary implementation of feature recognition, semantic graph modeling, and graph search based on input SAR data. The report concludes with lessons learned and suggestions for future improvements.
A Simple Method for Finding the Scattering Coefficients of Quantum Graphs
Seth S. Cottrell
2015-03-01T23:59:59.000Z
Quantum walks are roughly analogous to classical random walks, and like classical walks they have been used to find new (quantum) algorithms. When studying the behavior of large graphs or combinations of graphs it is useful to find the response of a subgraph to signals of different frequencies. In so doing we can replace an entire subgraph with a single vertex with frequency dependent scattering coefficients. In this paper a simple technique for quickly finding the scattering coefficients of any quantum graph will be presented. These scattering coefficients can be expressed entirely in terms of the characteristic polynomial of the graph's time step operator. Moreover, with these in hand we can easily derive the "impulse response" which is the key to predicting the response of a graph to any signal. This gives us a powerful set of tools for rapidly understanding the behavior of graphs or for reducing a large graph into its constituent subgraphs regardless of how they are connected.
A Mathematical Analysis of the R-MAT Random Graph Generator
Groer, Christopher S [ORNL; Sullivan, Blair D [ORNL; Poole, Stephen W [ORNL
2011-01-01T23:59:59.000Z
The R-MAT graph generator introduced by Chakrabarti, Faloutsos, and Zhan offers a simple, fast method for generating very large directed graphs. These properties have made it a popular choice as a method of generating graphs for objects of study in a variety of disciplines, from social network analysis to high performance computing. We analyze the graphs generated by R-MAT and model the generator in terms of occupancy problems in order to prove results about the degree distributions of these graphs. We prove that the limiting degree distributions can be expressed as a mixture of normal distributions, contradicting the widely held belief that R-MAT degree distributions exhibit the power law or scale free distribution observed in many real world graphs. Additionally, this paper offers an efficient computational technique for computing the exact degree distribution, as well as concise expressions for a number of properties of R-MAT graphs.
M&Ms4Graphs: Multi-scale, Multi-dimensional Graph Analytics Tools for Cyber-Security
. "Statistical and Hierarchical Graph Analysis for Cyber Security." SIAM Conference on Discrete Mathematics effort is made possible by the Pacific Northwest National Laboratory through funding provided by the U.S. Department of Energy. For more information on the science you see here, please contact: Sutanay Choudhury
Datacenter Sustainability Page 1 Sustainability
Chaudhuri, Surajit
Datacenter Sustainability Page 1 Datacenter Sustainability #12;Datacenter Sustainability Page 2 sustainability imperative and how advanced technologies, smart business practices, and strategic partnerships are helping us reduce our impact on the environment. Also learn how our investments in efficient, sustainable
A Graph Analytic Metric for Mitigating Advanced Persistent Threat
Johnson, John R.; Hogan, Emilie A.
2013-06-04T23:59:59.000Z
This paper introduces a novel graph analytic metric that can be used to measure the potential vulnerability of a cyber network to specific types of attacks that use lateral movement and privilege escalation such as the well known Pass The Hash, (PTH). The metric is computed from an oriented subgraph of the underlying cyber network induced by selecting only those edges for which a given property holds between the two vertices of the edge. The metric with respect to a select node on the subgraph is defined as the likelihood that the select node is reachable from another arbitrary node in the graph. This metric can be calculated dynamically from the authorization and auditing layers during the network security authorization phase and will potentially enable predictive deterrence against attacks such as PTH.
A characterization of Q-polynomial distance-regular graphs
Jurisic, Aleksandar; Zitnik, Arjana
2009-01-01T23:59:59.000Z
We obtain the following characterization of $Q$-polynomial distance-regular graphs. Let $\\G$ denote a distance-regular graph with diameter $d\\ge 3$. Let $E$ denote a minimal idempotent of $\\G$ which is not the trivial idempotent $E_0$. Let $\\{\\theta_i^*\\}_{i=0}^d$ denote the dual eigenvalue sequence for $E$. We show that $E$ is $Q$-polynomial if and only if (i) the entry-wise product $E \\circ E$ is a linear combination of $E_0$, $E$, and at most one other minimal idempotent of $\\G$; (ii) there exists a complex scalar $\\beta$ such that $\\theta^*_{i-1}-\\beta \\theta^*_i + \\theta^*_{i+1}$ is independent of $i$ for $1 \\le i \\le d-1$; (iii) $\\theta^*_i \
Qubits from Adinkra Graph Theory via Colored Toric Geometry
Aadel, Y; Benslimane, Z; Sedra, M B; Segui, A
2015-01-01T23:59:59.000Z
We develop a new approach to deal with qubit information systems using toric geometry and its relation to Adinkra graph theory. More precisely, we link three different subjects namely toric geometry, Adinkras and quantum information theory. This one to one correspondence may be explored to attack qubit system problems using geometry considered as a powerful tool to understand modern physics including string theory. Concretely, we examine in some details the cases of one, two, and three qubits, and we find that they are associated with \\bf CP^1, \\bf CP^1\\times CP^1 and \\bf CP^1\\times CP^1\\times CP^1 toric varieties respectively. Using a geometric procedure referred to as colored toric geometry, we show that the qubit physics can be converted into a scenario handling toric data of such manifolds by help of Adinkra graph theory. Operations on toric information can produce universal quantum gates.
Spectral properties of microwave graphs with local absorption
M. Allgaier; S. Gehler; S. Barkhofen; H. -J. Stckmann; U. Kuhl
2014-03-30T23:59:59.000Z
The influence of absorption on the spectra of microwave graphs has been studied experimentally. The microwave networks were made up of coaxial cables and T junctions. First, absorption was introduced by attaching a 50 Ohm load to an additional vertex for graphs with and without time-reversal symmetry. The resulting level-spacing distributions were compared with a generalization of the Wigner surmise in the presence of open channels proposed recently by Poli et al. [Phys. Rev. Lett. 108, 174101 (2012)]. Good agreement was found using an effective coupling parameter. Second, absorption was introduced along one individual bond via a variable microwave attenuator, and the influence of absorption on the length spectrum was studied. The peak heights in the length spectra corresponding to orbits avoiding the absorber were found to be independent of the attenuation, whereas, the heights of the peaks belonging to orbits passing the absorber once or twice showed the expected decrease with increasing attenuation.
Deciding Graph MSO Properties: Has it all been told already?
Gajarsk, Jakub
2012-01-01T23:59:59.000Z
A famous result of Courcelle claims that on graphs of bounded tree-width extensions for the MSO1 case are presented also in [Ganian, IPEC2011]. We take a general approach, proving that the MSO model-checking problem admits an FPT algorithm with an elementary dependence on the formula on all classes of trees of bounded height. This result, via standard logic interpretation, implies that all MSO2 properties \\phi are decidable in FPT with an elemen...
Connection probability for random graphs with given degree sequence
Xinping Xu
2007-08-20T23:59:59.000Z
Recently, the classical configuration model for random graphs with given degree distribution has been extensively used as a null model in contraposition to real networks with the same degree distribution. In this paper, we briefly review the applications of this model and derive analytical expression for connection probability by the expanding coefficient method. We also use our expanding coefficient method to obtain the connection probability for the directed configuration model.
A Spatiotemporal Graph Model for Rainfall Event Identification and Representation
Liu, Weibo
2014-04-21T23:59:59.000Z
of a storm ? The spread of a wildfire ? Other dynamic geographic phenomena from time series of snapshot datasets 3Research Objectives Identify the whole lifecycle of rainstorms from time series of snapshot datasets; Represent and analyze the rainstorms... based on a spatiotemporal graph model; Analyze the spatiotemporal characteristics of rainstorms. Data ? NEXRAD (Next generation Radar) ? Hourly precipitation estimate ? Cover more than 2/3 of the nation Rainstorms Lifecycle Identification Delineate...
Strong Integer Additive Set-valued Graphs: A Creative Review
N. K. Sudev; K. A. Germina; K. P. Chithra
2015-04-23T23:59:59.000Z
For a non-empty ground set $X$, finite or infinite, the {\\em set-valuation} or {\\em set-labeling} of a given graph $G$ is an injective function $f:V(G) \\to \\mathcal{P}(X)$, where $\\mathcal{P}(X)$ is the power set of the set $X$. A set-indexer of a graph $G$ is an injective set-valued function $f:V(G) \\to \\mathcal{P}(X)$ such that the function $f^{\\ast}:E(G)\\to \\mathcal{P}(X)-\\{\\emptyset\\}$ defined by $f^{\\ast}(uv) = f(u){\\ast} f(v)$ for every $uv{\\in} E(G)$ is also injective., where $\\ast$ is a binary operation on sets. An integer additive set-indexer is defined as an injective function $f:V(G)\\to \\mathcal{P}({\\mathbb{N}_0})$ such that the induced function $g_f:E(G) \\to \\mathcal{P}(\\mathbb{N}_0)$ defined by $g_f (uv) = f(u)+ f(v)$ is also injective, where $\\mathbb{N}_0$ is the set of all non-negative integers and $\\mathcal{P}(\\mathbb{N}_0)$ is its power set. An IASI $f$ is said to be a strong IASI if $|f^+(uv)|=|f(u)|\\,|f(v)|$ for every pair of adjacent vertices $u,v$ in $G$. In this paper, we critically and creatively review the concepts and properties of strong integer additive set-valued graphs.
Math 13800 Assignment Sheet Fall 2014 Math 13800 web page ...
Roames, Renee S
2014-08-19T23:59:59.000Z
Note: Please print off or buy graph paper. Using tick ... 11 14.1 p315 2(Label the 5 parts of the graph A, B, C, D, E. Label the 5 parts of your story and the 5 parts...
A sharp lower bound for the Wiener index of a graph
Balakrishnan, R; Iyer, K V
2010-01-01T23:59:59.000Z
Given a simple connected undirected graph G, the Wiener index W(G) of G is defined as half the sum of the distances over all pairs of vertices of G. In practice, G corresponds to what is known as the molecular graph of an organic compound. We obtain a sharp lower bound for W(G) of an arbitrary graph in terms of the order, size and diameter of G.
LIGHT SUBGRAPHS IN PLANAR GRAPHS OF MINIMUM DEGREE 4 AND EDGE-DEGREE 9
Mohar, Bojan
LIGHT SUBGRAPHS IN PLANAR GRAPHS OF MINIMUM DEGREE 4 AND EDGE-DEGREE 9 B. MOHAR , R. SKREKOVSKI vertices of degree 4 are adjacent. A graph H is light in G if there is a constant w such that every graph is w. Then we also write w(H) w. It is proved that the cycle Cs is light if and only if 3 s 6, where
Materials for Math 13900 Bring to class each day: graph paper ...
Roames, Renee S
2015-01-08T23:59:59.000Z
Materials for Math 13900. Bring to class each day: graph paper isometric dot paper unlined paper cm ruler. We will also be using: compass small scissors.
Graphs whose normalized Laplacian matrices are separable as density matrices in quantum mechanics
Chai Wah Wu
2014-07-23T23:59:59.000Z
Recently normalized Laplacian matrices of graphs are studied as density matrices in quantum mechanics. Separability and entanglement of density matrices are important properties as they determine the nonclassical behavior in quantum systems. In this note we look at the graphs whose normalized Laplacian matrices are separable or entangled. In particular, we show that the number of such graphs is related to the number of 0-1 matrices that are line sum symmetric and to the number of graphs with at least one vertex of degree 1.
Semi-classical measures on Quantum graphs and the Gau map of the determinant manifold
Boyer, Edmond
believed that QE does not hold in general for a FIXED quantum graph. In [BKW04], it is proved that QE does
Ding, Chris; He, Xiaofeng; Xiong, Hui; Peng, Hanchuan; Holbrook, Stephen R.
2006-01-01T23:59:59.000Z
Closure and Metric Inequality of Weighted Graphs Detectingleads to a transitivity inequality which is equivalentto ultra-metric inequality. This can be used to de?ne
Integrative Protein Function Transfer using Factor Graphs and Heterogeneous Data Sources
Mishra, Bud
Integrative Protein Function Transfer using Factor Graphs and Heterogeneous Data Sources Antonina, translation initiation, enzymatic catalysis, and immune re- sponse. However, for a large portion of proteins
Global Binary Optimization on Graphs for Classification of High-Dimensional Data
Merkurjev, E; Bae, E; Bertozzi, AL; Tai, XC
2015-01-01T23:59:59.000Z
J.H. : Convergence and energy landscape for Cheeger cutmax-flow algorithms for energy minimization in vision. IEEER. : Fast approxi- mate energy minimization via graph cuts.
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General Information ASD Groups ESHQA Operations Argonne Home > Advanced Photon Source > Power Systems Group This page is currently under construction. Old PS Group Site (visible...
Kevin's Page. My name is Kevin L. Rotz, and I am currently a sixth year graduate student in the Purdue University Department of Mathematics. During the spring...
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Mountain Promise page 1 ountain PromisM e
Baltisberger, Jay H.
Community supported agriculture page 6 Organic vs. conventional page 9 Industrial hemp page 12 toolbox
Römisch, Werner
()d. #12;Home Page Title Page Contents Page 7 of 100 Go Back Full Screen Close Quit The behavior of bothHome Page Title Page Contents Page 1 of 100 Go Back Full Screen Close Quit Scenario Generation Uncertainty Quantification in Industrial and Energy Applications: Experiences and Challenges, Minneapolis
Weston, Ken
at the Magnet Lab like? Often, it's about solving problems. That's what engineers Scott Bole and Lee Marks didRobotics Club! page 16 Using magnets to analyze oil page 28 #12;editor's note What's a typical day recently. Their story began when Lee noticed something odd going on during a magnet-building project: When
McQuade, D. Tyler
/Dean Alts Click . Enter SHARE for SetID if not prepopulated. Search for and select the OMNI Userid/29/2008 The terms "Chair" and "Dean" are used generically to represent unit hierarchy. A new page (Grants. #12;Page 2 of 3 Do not change Eff Date or Status. Search for and select the OMNI Userid
Carreira-Perpiñán, Miguel Á.
have introduced two new types of proximity graphs based on ensembles of minimum spanning trees, which for non-Euclidean data; study stochastic graphs. 7 Results: dimens. reduction (Isomap) Ellipse, high noise
Bhattacharyya, Shuvra S.
framework for construction and manipulation of dataflow graphs for DSP system design. To facilitate design of complex systems, our framework includes a powerful integration of C-based procedural programming topologies increases, textual manipulation of graph specifications becomes increasingly important
Groups generated by bounded automata and their schreier graphs
Bondarenko, Ievgen
2009-05-15T23:59:59.000Z
by Bounded Automata and Their Schreier Graphs. (December 2007) Ievgen Bondarenko, B.S., National Taras Shevchenko University of Kyiv, Ukraine; M.S., National Taras Shevchenko University of Kyiv, Ukraine Chair of Advisory Committee: Dr. Rostislav Grigorchuk... maps In Chapter III we study spectral properties and iterations of piecewise linear maps of the form fK(v) = min A?K Av, v?RN, (1.1) where K is a finite set of nonnegative square matrices of fixed dimension and by ?min? we mean component-wise minimum...
Groups generated by bounded automata and their schreier graphs
Bondarenko, Ievgen
2008-10-10T23:59:59.000Z
by Bounded Automata and Their Schreier Graphs. (December 2007) Ievgen Bondarenko, B.S., National Taras Shevchenko University of Kyiv, Ukraine; M.S., National Taras Shevchenko University of Kyiv, Ukraine Chair of Advisory Committee: Dr. Rostislav Grigorchuk... maps In Chapter III we study spectral properties and iterations of piecewise linear maps of the form fK(v) = min A?K Av, v?RN, (1.1) where K is a finite set of nonnegative square matrices of fixed dimension and by min we mean component-wise minimum...
AGE: a distributed environment for creating interactive animations of graphs
Veatch, Timothy Richard
1990-01-01T23:59:59.000Z
Facility . 5. Aesthetics B. Enhancements . C. Summary REFERENCES 72 73 75 76 80 81 APPENDIX A: ACCESS TO AGE 86 APPENDIX B: SOURCE CODE SUMMARY 93 APPENDIX C: CLIENT PRIMITIVES 98 1. AGESOCKET CONNECT . 2. AGEJvlESSAGE READ. . . 3... to the object with the mouse and selecting one of the operations from the menu that pops-up. This method proves simple enough for beginners and is quick enough for experts. In order to be useful in many situations, a set of primitive graph operations has been...
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5Sales for4,645U.S. DOE Office of ScienceandMesa del SolStrengthening aTurbulenceUtilizeRuralthe emergency response assets of DOE and
Isomorphism testing for circulant graphs Cn(a, b)
2010-03-10T23:59:59.000Z
Mar 10, 2010 ... Page 1 ... and define a simple combinatorial model, which is new for the topic. Building on such a model, we derive a necessary and sufficient...
Generating Reports & Graphs in Portfolio Manager | Department of Energy
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Compositionality in Synchronous Data Flow: Modular Code Generation from Hierarchical SDF Graphs
Compositionality in Synchronous Data Flow: Modular Code Generation from Hierarchical SDF Graphs in Synchronous Data Flow: Modular Code Generation from Hierarchical SDF Graphs Stavros Tripakis, Dai Bui, Bert of California, Berkeley stavros, daib, eal@eecs.berkeley.edu October 20, 2009 Abstract Hierarchical SDF models
JACOBIANS OF NEARLY COMPLETE AND THRESHOLD GRAPHS SERGUEI NORINE AND PETER WHALEN
Norin, Sergey
to it as the sandpile group [7]. Seven years later, Bacher et al referred to it alternatively as the Picard group. The Jacobian of a graph, also known as the Picard Group, Sandpile Group, or Critical Group, is a discrete is odd, where k is such that the order of the group is the number of spanning trees of the graph
The power graph of a finite group, II Peter J. Cameron
Cameron, Peter
The power graph of a finite group, II Peter J. Cameron School of Mathematical Sciences Queen Mary, University of London Mile End Road London E1 4NS, U.K. Abstract The directed power graph of a group G is the digraph with vertex set G, having an arc from y to x whenever x is a power of y; the undirected power
An Updated Taxonomy of Evolutionary Computation Problems using Graph-based
Ashlock, Dan
An Updated Taxonomy of Evolutionary Computation Problems using Graph-based Evolutionary Algorithms some other groups of problems scatter across the taxonomy. This paper updates an earlier taxonomy of 23, for the self-avoiding-walk problems corrects, a taxonomy of 23 problems given in [8]. The list of graphs
Contraction decomposition in h-minor-free graphs and algorithmic applications
Demaine, Erik D.
We prove that any graph excluding a fixed minor can have its edges partitioned into a desired number k of color classes such that contracting the edges in any one color class results in a graph of treewidth linear in k. ...
Fault-Tolerant Exploration of an Unknown Dangerous Graph by Scattered Agents
Flocchini, Paola
Fault-Tolerant Exploration of an Unknown Dangerous Graph by Scattered Agents Paola Flocchini1 a network where there are dangerous sites (black holes) that eliminate any incoming searcher without leaving a discernible trace. Dangerous graph exploration (Dge) extends the Bhs problem to include dangerous links (black
Management of Security Policy Configuration using a Semantic Threat Graph Approach
Foley, Simon
Management of Security Policy Configuration using a Semantic Threat Graph Approach Simon N. Foley, in turn, unnec- essarily expose the enterprise to known threats. This paper proposes a threat management Threat Graphs, a variation of the tradi- tional Threat/Attack Tree, extended in order to relate semantic
KOHONEN NETWORKS WITH GRAPH-BASED AUGMENTED METRICS Peter Andras and Olusola Idowu
Andras, Peter
include: bisecting k-means clustering [2], principal component analysis [3], independent component that is based on the comparison of word consecutiveness graphs of documents. We show that using the proposed distance metric comparison of word frequency vectors. Our results indicate that word consecutiveness graph
A near-optimal approximation algorithm for Asymmetric TSP1 on embedded graphs2
Erickson, Jeff
algorithm of Oveis Gharan and Saberi [SODA 2011], which applies only to graphs15 with orientable genus g and Saberi [11] described a polynomial-time9 O( g log g)-approximation algorithm when the input includes and Saberi [11] applies only to23 graphs embedded on orientable surfaces.24 Chekuri and Sidiropoulos [3
Feature Tracking Using Reeb Graphs Gunther H. Weber1,2, Peer-Timo Bremer3,
in Combustion Simulations · Application: Simulation of premixed lean hydrogen flames under different levels TVCG, Analyzing and tracking burning structures in lean premixed hydrogen flames] #12;Feature Tracking Using Reeb Graphs 11 Tracking Graph Extraction Pipeline 1. Concatenate to obtain 4D mesh 2. Extract
THE RADIO NUMBERS OF ALL GRAPHS OF ORDER n AND DIAMETER n -2
Tomova, Maggy
THE RADIO NUMBERS OF ALL GRAPHS OF ORDER n AND DIAMETER n - 2 KATHERINE BENSON, MATTHEW PORTER, AND MAGGY TOMOVA Abstract. A radio labeling of a connected graph G is a function c : V (G) Z+ such that for every two distinct vertices u and v of G distance(u, v) + |c(u) - c(v)| 1 + diameter(G). The radio
Actes JFPC 2008 LS(Graph): Un cadre de recherche locale pour des
Deville, Yves
le diam`etre d'un arbre) parce que ceux-ci sont d´ej`a impl´ement´es dans LS(Graph). Le program- meur recherche heu- ristiques et metaheuristiques. LS(Graph) est con¸cu et impl´ement´e en COMET (le code source
Scheduling tree-shaped task graphs to minimize memory and makespan
Paris-Sud XI, Universit de
Scheduling tree-shaped task graphs to minimize memory and makespan Loris Marchal CNRS experimental evaluation using realistic trees. Keywords-scheduling; makespan-memory tradeoff; tree- shaped task.vivien@inria.fr Abstract--This paper investigates the execution of tree- shaped task graphs using multiple processors. Each
NEW DATA MODEL FOR GRAPH-CUT SEGMENTATION: APPLICATION TO AUTOMATIC MELANOMA DELINEATION
Lezoray, Olivier
NEW DATA MODEL FOR GRAPH-CUT SEGMENTATION: APPLICATION TO AUTOMATIC MELANOMA DELINEATION R. K but also texture and shape information. For melanoma images, we also introduce skin chromophore features- tion to melanoma delineation compares favorably to manual delineation and related graph
Fast solution of NP-hard coloring problems on large random graphs
Bedini, Andrea
2010-01-01T23:59:59.000Z
Combining tree decomposition and transfer matrix techniques provides a highly efficient and very general algorithm for computing exact partition functions of statistical models defined on large graphs. We illustrate this by considering the hard problem of computing the exact number of vertex colorings for randomly generated planar graphs with up to N = 100 vertices.
Timed Event Graphs with variable resources: asymptotic behavior, representation in (min,+)
Paris-Sud XI, Universit de
-1032" #12;1. Introduction Timed Event Graphs (TEG's), which constitute a subclass of timed Petri nets precisely, we define a class of timed Petri nets, called TEG's with variable resources, which can be likened to linear time-varying systems over algebra - a particular dioid. These graphs (TEG's on which
Paris-Sud XI, Universit de
.hardouin, bertrand.cottenceau]@istia.univ-angers.fr Abstract This paper deals with control of Timed Event Graphs (TEG). In a first part the disturbance decoupling problem for TEG is defined. In a second part we propose is introduced for a particular class of Discrete Event Dynamic Systems (DEDS) called Timed Event Graphs (TEG
DATABASE Open Access RAG: An update to the RNA-As-Graphs resource
Schlick, Tamar
DATABASE Open Access RAG: An update to the RNA-As-Graphs resource Joseph A Izzo1 , Namhee Kim1 utilize the benefits of relational database, and improvements to several of the utilities such as directed/labeled graphs and a subgraph search program. Conclusions: The RAG updates presented here augment the database
Enterprise Social Network Analysis and Modeling: A Tale of Two Graphs
Li, Li Erran
Enterprise Social Network Analysis and Modeling: A Tale of Two Graphs Jin Cao1, Hongyu Gao2, Li to understand how people are using these social networks. Unlike the public social networks like Facebook social networks are also governed by an organization graph. Based on a six month dataset collected from
MadGraph/MadEvent 4 SUSY, new models, matching and more!
California at Santa Cruz, University of
Alwall - MadGraph/MadEvent 4 513 Mar 2007 What is new in MG/ME 4? Web-oriented, modular software banner #12;Johan Alwall - MadGraph/MadEvent 4 713 Mar 2007 Whole chain on web or downloaded and run locally Cards filled on the web or uploaded (reusable) Modular structure easy to interface to other
Covering Cuts in Bridgeless Cubic Graphs Sylvia BOYD, Satoru IWATA, Kenjiro TAKAZAWA
are interested in algorithms for finding 2-factors that cover certain prescribed edge-cuts in bridgeless cubic graphs. We present an algorithm for finding a minimum-weight 2-factor covering all the 3-edge cuts for finding a 2-factor covering all the 3- and 4-edge cuts in bridgeless cubic graphs. Both
A conjecture of Biggs concerning the resistance of a distance-regular graph
Markowsky, Greg
2010-01-01T23:59:59.000Z
Previously, Biggs has conjectured that the resistance between any two points on a distance-regular graph of valency greater than 2 is bounded by twice the resistance between adjacent points. We prove this conjecture, give the sharp constant for the inequality, and display the graphs for which the conjecture most nearly fails. Some necessary background material is included, as well as some consequences.
Dig-ta Video, Learn-ng Styes, and Student Understanding of Kinematics Graphs
Zollman, Dean
Dig-ta Video, Learn-ng Styes, and Student Understanding of Kinematics Graphs Teresa Larkin Video, Learning Styles, and Student Understanding of Kinematics Graphs Introduction Student learning interactive digital video as well preferences and student understanding and their ability to interpret motion
Solving planning-graph by compiling it into CSP Minh Binh Do & Subbarao Kambhampati
Kambhampati, Subbarao
Solving planning-graph by compiling it into CSP Minh Binh Do & Subbarao Kambhampati Department to adapt CSP search techniques into the backward search phase of Graphplan. This paper describes GP-CSP, a system that does planning by automati- cally converting Graphplan's planning graph into a CSP encoding
Massive Scale Cyber Traffic Analysis: A Driver for Graph Database Research
Joslyn, Cliff A.; Choudhury, S.; Haglin, David J.; Howe, Bill; Nickless, William K.; Olsen, Bryan K.
2013-06-19T23:59:59.000Z
We describe the significance and prominence of network traffic analysis (TA) as a graph- and network-theoretical domain for advancing research in graph database systems. TA involves observing and analyzing the connections between clients, servers, hosts, and actors within IP networks, both at particular times and as extended over times. Towards that end, NetFlow (or more generically, IPFLOW) data are available from routers and servers which summarize coherent groups of IP packets flowing through the network. IPFLOW databases are routinely interrogated statistically and visualized for suspicious patterns. But the ability to cast IPFLOW data as a massive graph and query it interactively, in order to e.g.\\ identify connectivity patterns, is less well advanced, due to a number of factors including scaling, and their hybrid nature combining graph connectivity and quantitative attributes. In this paper, we outline requirements and opportunities for graph-structured IPFLOW analytics based on our experience with real IPFLOW databases. Specifically, we describe real use cases from the security domain, cast them as graph patterns, show how to express them in two graph-oriented query languages SPARQL and Datalog, and use these examples to motivate a new class of "hybrid" graph-relational systems.
Privacy-Preserving Query over Encrypted Graph-Structured Data in Cloud Computing
Hou, Y. Thomas
Privacy-Preserving Query over Encrypted Graph-Structured Data in Cloud Computing Ning Cao, Zhenyu, Chicago, IL 60616 Email: {cong, kren}@ece.iit.edu Abstract-- In the emerging cloud computing paradigm of privacy-preserving query over encrypted graph-structured data in cloud computing (PPGQ), and establish
WILD QUOTIENT SURFACE SINGULARITIES WHOSE DUAL GRAPHS ARE NOT STAR-SHAPED
Schröer, Stefan
WILD QUOTIENT SURFACE SINGULARITIES WHOSE DUAL GRAPHS ARE NOT STAR-SHAPED HIROYUKI ITO AND STEFAN- zini on wild quotient singularities in dimension two. Using Kato's theory of log structures and log of Heisenberg groups lead to examples of wild quotient singularities where the dual graph contains at least two
Graph Mining for Object Tracking in Videos Fabien Diot1,2
Graph Mining for Object Tracking in Videos Fabien Diot1,2 , Elisa Fromont1 , Baptiste Jeudy1 of graph mining for tracking objects in videos with moving cameras and without any contextual information on the objects to track. To make the mining algorithm efficient, we benefit from a video representation based
Andrea Bedini; Jesper Lykke Jacobsen
2010-08-06T23:59:59.000Z
Combining tree decomposition and transfer matrix techniques provides a very general algorithm for computing exact partition functions of statistical models defined on arbitrary graphs. The algorithm is particularly efficient in the case of planar graphs. We illustrate it by computing the Potts model partition functions and chromatic polynomials (the number of proper vertex colourings using Q colours) for large samples of random planar graphs with up to N=100 vertices. In the latter case, our algorithm yields a sub-exponential average running time of ~ exp(1.516 sqrt(N)), a substantial improvement over the exponential running time ~ exp(0.245 N) provided by the hitherto best known algorithm. We study the statistics of chromatic roots of random planar graphs in some detail, comparing the findings with results for finite pieces of a regular lattice.
Paris-Sud XI, Universit de
Bond Graph Modeling of Current Diffusion in Magnetic Cores Herv Morel, Bruno Allard, Sabrine M, F-69621 Villeurbanne Cedex, France KEYBOARD: Bond Graphs, Variational approximation, Diffusive with the diffusion representation. Both approaches yield a same bond graph representation. 2. MODELING CURRENT
NREL: Biomass Research Home Page
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5Sales for4,645U.S. DOE Office of Science (SC) EnvironmentalGyroSolé(tm) Harmonic EngineHIV andApril 8-9, 2015 FINALFebruary 4-5,
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5Sales for4,645U.S. DOE Office of Science (SC) EnvironmentalGyroSolé(tm) Harmonic EngineHIV andApril 8-9, 2015 FINALFebruary
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5Sales for4,645U.S. DOE Office of Science (SC) EnvironmentalGyroSolé(tm) Harmonic EngineHIV andApril 8-9, 2015