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U.S. Department of Energy
Office of Scientific and Technical Information

Multidimensional spectral load balancing

Patent ·
OSTI ID:870755

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.

Research Organization:
Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA
Assignee:
Sandia Corporation (Albuquerque, NM)
Patent Number(s):
US 5587922
Application Number:
08/680,718
OSTI ID:
870755
Country of Publication:
United States
Language:
English

References (7)

Multidimensional spectral load balancing report January 1993
An Efficient Heuristic Procedure for Partitioning Graphs journal February 1970
An improved spectral graph partitioning algorithm for mapping parallel computations report September 1992
Laplace eigenvalues of graphs—a survey journal November 1992
Partitioning of unstructured problems for parallel processing journal January 1991
An algorithm for quadrisection and its application to standard cell placement journal March 1988
Geometric algorithms for a minimum cost assignment problem conference January 1991