Recent advances in graph partitioning

Buluç, Aydin; Meyerhenke, Henning; Safro, Ilya; Sanders, Peter; Schulz, Christian

doi:10.1007/978-3-319-49487-6_4

Title: Recent advances in graph partitioning

Book · Fri Nov 11 00:00:00 EST 2016

DOI:https://doi.org/10.1007/978-3-319-49487-6_4· OSTI ID:1393087

Buluç, Aydin ^[1]; Meyerhenke, Henning ^[2]; Safro, Ilya ^[3]; Sanders, Peter ^[2]; Schulz, Christian ^[2]

Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Karlsruhe Inst. of Technology (KIT) (Germany)
Clemson Univ., SC (United States)

We survey recent trends in practical algorithms for balanced graph partitioning, point to applications and discuss future research directions.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

DOE Contract Number:: AC02-05CH11231

OSTI ID:: 1393087

Resource Relation:: Related Information: Book Title: Algorithm Engineering

Country of Publication:: United States

Language:: English

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An efficient memetic algorithm for the graph partitioning problem Galinier, Philippe; Boujbel, Zied; Coutinho Fernandes, Michael Annals of Operations Research, Vol. 191, Issue 1 https://doi.org/10.1007/s10479-011-0983-3	journal	October 2011
Graph partitioning using linear and semidefinite programming Lisser, A.; Rendl, F. Mathematical Programming, Vol. 95, Issue 1 https://doi.org/10.1007/s10107-002-0342-x	journal	January 2003
Graph partitioning and parallel solvers: Has the emperor no clothes? Hendrickson, Bruce Solving Irregularly Structured Problems in Parallel https://doi.org/10.1007/BFb0018541	book	January 1998
A simpler linear time 2/3−ε approximation for maximum weight matching Pettie, Seth; Sanders, Peter Information Processing Letters, Vol. 91, Issue 6 https://doi.org/10.1016/j.ipl.2004.05.007	journal	September 2004
The complexity of congestion-1 embedding in a hypercube Man Kim, Young; Lai, Ten-Hwang Journal of Algorithms, Vol. 12, Issue 2 https://doi.org/10.1016/0196-6774(91)90004-I	journal	June 1991
Near linear time algorithm to detect community structures in large-scale networks Raghavan, Usha Nandini; Albert, Réka; Kumara, Soundar Physical Review E, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevE.76.036106	journal	September 2007
Some simplified NP-complete problems Garey, M. R.; Johnson, D. S.; Stockmeyer, L. Proceedings of the sixth annual ACM symposium on Theory of computing - STOC '74 https://doi.org/10.1145/800119.803884	conference	January 1974
Advanced Coarsening Schemes for Graph Partitioning Safro, Ilya; Sanders, Peter; Schulz, Christian Experimental Algorithms https://doi.org/10.1007/978-3-642-30850-5_32	book	January 2012
Graph Partitioning with the Party Library: Helpful-Sets in Practice Monien, B.; Schamberger, S. 16th Symposium on Computer Architecture and High Performance Computing https://doi.org/10.1109/SBAC-PAD.2004.18	conference	January 2004
A linear-time approximation algorithm for weighted matchings in graphs Vinkemeier, Doratha E. Drake; Hougardy, Stefan ACM Transactions on Algorithms, Vol. 1, Issue 1 https://doi.org/10.1145/1077464.1077472	journal	July 2005
Diffusion maps and coarse-graining: a unified framework for dimensionality reduction, graph partitioning, and data set parameterization Lafon, S.; Lee, A. B. IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 28, Issue 9, p. 1393-1403 https://doi.org/10.1109/TPAMI.2006.184	journal	September 2006
Customizable Route Planning Delling, Daniel; Goldberg, Andrew V.; Pajor, Thomas Experimental Algorithms https://doi.org/10.1007/978-3-642-20662-7_32	book	January 2011
An Improved Spectral Graph Partitioning Algorithm for Mapping Parallel Computations Hendrickson, Bruce; Leland, Robert SIAM Journal on Scientific Computing, Vol. 16, Issue 2 https://doi.org/10.1137/0916028	journal	March 1995
Identification of severe multiple contingencies in electric power networks Donde, V.; Lopez, V.; Lesieutre, B. Proceedings of the 37th Annual North American Power Symposium, 2005. https://doi.org/10.1109/NAPS.2005.1560502	conference	January 2005
Parallel static and dynamic multi-constraint graph partitioning Schloegel, Kirk; Karypis, George; Kumar, Vipin Concurrency and Computation: Practice and Experience, Vol. 14, Issue 3 https://doi.org/10.1002/cpe.605	journal	January 2002
An Automatic Method of Solving Discrete Programming Problems Land, A. H.; Doig, A. G. Econometrica, Vol. 28, Issue 3 https://doi.org/10.2307/1910129	journal	July 1960
On partitioning FEM graphs using diffusion Schamberger, S. 18th International Parallel and Distributed Processing Symposium, 2004. Proceedings. https://doi.org/10.1109/IPDPS.2004.1303358	conference	January 2004
Isoperimetric graph partitioning for image segmentation Grady, L.; Schwartz, E. L. IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 28, Issue 3 https://doi.org/10.1109/TPAMI.2006.57	journal	March 2006
A Multiagent Algorithm for Graph Partitioning Comellas, Francesc; Sapena, Emili Lecture Notes in Computer Science https://doi.org/10.1007/11732242_25	book	January 2006
Exascale Computing Technology Challenges Shalf, John; Dosanjh, Sudip; Morrison, John Lecture Notes in Computer Science https://doi.org/10.1007/978-3-642-19328-6_1	book	January 2010
Multilevel mesh partitioning for heterogeneous communication networks Walshaw, C.; Cross, M. Future Generation Computer Systems, Vol. 17, Issue 5 https://doi.org/10.1016/S0167-739X(00)00107-2	journal	March 2001
Benchmarking for Graph Clustering and Partitioning Bader, David A.; Meyerhenke, Henning; Sanders, Peter Encyclopedia of Social Network Analysis and Mining https://doi.org/10.1007/978-1-4614-6170-8_23	book	January 2014
Eigenvalues and graph bisection: An average-case analysis Boppana, Ravi B. 28th Annual Symposium on Foundations of Computer Science (sfcs 1987) https://doi.org/10.1109/SFCS.1987.22	conference	October 1987
An $\mathcal{O}(n^4)$ Time Algorithm to Compute the Bisection Width of Solid Grid Graphs Feldmann, Andreas Emil; Widmayer, Peter Algorithms – ESA 2011 https://doi.org/10.1007/978-3-642-23719-5_13	book	January 2011
Improvement of the Efficiency of Genetic Algorithms for Scalable Parallel Graph Partitioning in a Multi-level Framework Chevalier, Cédric; Pellegrini, François Euro-Par 2006 Parallel Processing https://doi.org/10.1007/11823285_25	book	January 2006
Multilevel Optimization in VLSICAD Cong, Jason; Shinnerl, Joseph R. Combinatorial Optimization https://doi.org/10.1007/978-1-4757-3748-6	book	January 2003
PaGrid: A Mesh Partitioner for Computational Grids Huang, Sili; Aubanel, Eric; Bhavsar, Virendrakumar C. Journal of Grid Computing, Vol. 4, Issue 1 https://doi.org/10.1007/s10723-005-9018-0	journal	February 2006
Candidate Sets for Alternative Routes in Road Networks Luxen, Dennis; Schieferdecker, Dennis Experimental Algorithms https://doi.org/10.1007/978-3-642-30850-5_23	book	January 2012
A Comparative Study of Linear and Semidefinite Branch-and-Cut Methods for Solving the Minimum Graph Bisection Problem Armbruster, Michael; Fügenschuh, Marzena; Helmberg, Christoph Integer Programming and Combinatorial Optimization https://doi.org/10.1007/978-3-540-68891-4_8	book	January 2008
A Polynomial Algorithm for the k-cut Problem for Fixed k Goldschmidt, Olivier; Hochbaum, Dorit S. Mathematics of Operations Research, Vol. 19, Issue 1 https://doi.org/10.1287/moor.19.1.24	journal	February 1994
Heuristic-Based Techniques for Mapping Irregular Communication Graphs to Mesh Topologies Bhatele, Abhinav; Kale, Laxmikant V. Communication (HPCC), 2011 IEEE International Conference on High Performance Computing and Communications https://doi.org/10.1109/HPCC.2011.109	conference	September 2011
Parallel multilevel algorithms for hypergraph partitioning Trifunović, Aleksandar; Knottenbelt, William J. Journal of Parallel and Distributed Computing, Vol. 68, Issue 5 https://doi.org/10.1016/j.jpdc.2007.11.002	journal	May 2008
Fast Approximate Graph Partitioning Algorithms Even, Guy; Naor, Joseph (Seffi); Rao, Satish SIAM Journal on Computing, Vol. 28, Issue 6 https://doi.org/10.1137/S0097539796308217	journal	January 1999
Generic topology mapping strategies for large-scale parallel architectures Hoefler, Torsten; Snir, Marc Proceedings of the international conference on Supercomputing - ICS '11 https://doi.org/10.1145/1995896.1995909	conference	January 2011
A linear solver for benchmarking partitioners Ghazinour, Kambiz; Shaw, Ruth E.; Aubanel, Eric Distributed Processing Symposium (IPDPS), 2008 IEEE International Symposium on Parallel and Distributed Processing https://doi.org/10.1109/IPDPS.2008.4536467	conference	April 2008
Multicommodity Flow Approximation Used for Exact Graph Partitioning Sellmann, Meinolf; Sensen, Norbert; Timajev, Larissa Algorithms - ESA 2003 https://doi.org/10.1007/978-3-540-39658-1_67	book	January 2003
Fast multilevel implementation of recursive spectral bisection for partitioning unstructured problems Barnard, Stephen T.; Simon, Horst D. Concurrency: Practice and Experience, Vol. 6, Issue 2 https://doi.org/10.1002/cpe.4330060203	journal	April 1994
A hypergraph-partitioning approach for coarse-grain decomposition Çatalyürek, Ümit V.; Aykanat, Cevdet Proceedings of the 2001 ACM/IEEE conference on Supercomputing (CDROM) - Supercomputing '01 https://doi.org/10.1145/582034.582062	conference	January 2001
Comparison of Coarsening Schemes for Multilevel Graph Partitioning Chevalier, Cédric; Safro, Ilya Lecture Notes in Computer Science https://doi.org/10.1007/978-3-642-11169-3_14	book	January 2009
Community Structure in Graphs Fortunato, Santo; Castellano, Claudio Encyclopedia of Complexity and Systems Science https://doi.org/10.1007/978-0-387-30440-3_76	book	January 2009
Algorithms for Mapping Parallel Processes onto Grid and Torus Architectures Glantz, Roland; Meyerhenke, Hening; Noe, Alexander 2015 23rd Euromicro International Conference on Parallel, Distributed and Network-Based Processing (PDP), 2015 23rd Euromicro International Conference on Parallel, Distributed, and Network-Based Processing https://doi.org/10.1109/PDP.2015.21	conference	March 2015
Parallel multilevel k-way partitioning scheme for irregular graphs Karypis, George; Kumar, Vipin Proceedings of the 1996 ACM/IEEE conference on Supercomputing (CDROM) - Supercomputing '96 https://doi.org/10.1145/369028.369103	conference	January 1996
KONECT: the Koblenz network collection Kunegis, Jérôme Proceedings of the 22nd International Conference on World Wide Web - WWW '13 Companion https://doi.org/10.1145/2487788.2488173	conference	January 2013
Parallel Graph Partitioning for Complex Networks Meyerhenke, Henning; Sanders, Peter; Schulz, Christian 2015 IEEE International Parallel and Distributed Processing Symposium (IPDPS) https://doi.org/10.1109/IPDPS.2015.18	conference	May 2015
Partitioning graphs to speedup Dijkstra's algorithm Möhring, Rolf H.; Schilling, Heiko; Schütz, Birk Journal of Experimental Algorithmics, Vol. 11 https://doi.org/10.1145/1187436.1216585	journal	February 2007
Spectral methods for community detection and graph partitioning Newman, M. E. J. Physical Review E, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevE.88.042822	journal	October 2013
JOSTLE - Multilevel Graph Partitioning Software: An Overview Walshaw, C.; Cross, M. Computational Science, Engineering & Technology Series https://doi.org/10.4203/csets.17.2	book
Parallel dynamic load-balancing for adaptive unstructured meshes Walshaw, C.; Cross, M.; Everett, M. G. Parallel Computational Fluid Dynamics 1997 https://doi.org/10.1016/B978-044482849-1/50012-9	book	January 1998

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