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Title: Multidimensional spectral load balancing

Abstract

A method of and apparatus for graph partitioning involving the use of a plurality of eigenvectors of the Laplacian matrix of the graph of the problem for which load balancing is desired. The invention is particularly useful for optimizing parallel computer processing of a problem and for minimizing total pathway lengths of integrated circuits in the design stage.

Inventors:
 [1];  [1]
  1. Albuquerque, NM
Issue Date:
Research Org.:
Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
OSTI Identifier:
870755
Patent Number(s):
5587922
Application Number:
08/680,718
Assignee:
Sandia Corporation (Albuquerque, NM)
Patent Classifications (CPCs):
G - PHYSICS G06 - COMPUTING G06K - RECOGNITION OF DATA
G - PHYSICS G06 - COMPUTING G06F - ELECTRIC DIGITAL DATA PROCESSING
Resource Type:
Patent
Country of Publication:
United States
Language:
English
Subject:
multidimensional; spectral; load; balancing; method; apparatus; graph; partitioning; involving; plurality; eigenvectors; laplacian; matrix; desired; particularly; useful; optimizing; parallel; computer; processing; minimizing; total; pathway; lengths; integrated; circuits; design; stage; load balancing; particularly useful; integrated circuits; integrated circuit; parallel computer; computer process; /716/712/

Citation Formats

Hendrickson, Bruce A, and Leland, Robert W. Multidimensional spectral load balancing. United States: N. p., 1996. Web.
Hendrickson, Bruce A, & Leland, Robert W. Multidimensional spectral load balancing. United States.
Hendrickson, Bruce A, and Leland, Robert W. Mon . "Multidimensional spectral load balancing". United States. https://www.osti.gov/servlets/purl/870755.
@article{osti_870755,
title = {Multidimensional spectral load balancing},
author = {Hendrickson, Bruce A and Leland, Robert W},
abstractNote = {A method of and apparatus for graph partitioning involving the use of a plurality of eigenvectors of the Laplacian matrix of the graph of the problem for which load balancing is desired. The invention is particularly useful for optimizing parallel computer processing of a problem and for minimizing total pathway lengths of integrated circuits in the design stage.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {1996},
month = {1}
}

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Works referenced in this record:

Partitioning of unstructured problems for parallel processing
journal, January 1991


Laplace eigenvalues of graphs—a survey
journal, November 1992


Geometric algorithms for a minimum cost assignment problem
conference, January 1991


An algorithm for quadrisection and its application to standard cell placement
journal, March 1988


An Efficient Heuristic Procedure for Partitioning Graphs
journal, February 1970