Multidimensional spectral load balancing

Hendrickson, Bruce A; Leland, Robert W

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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:

Hendrickson, Bruce A ^[1]; Leland, Robert W ^[1]

Albuquerque, NM

Issue Date:: Mon Jan 01 00:00:00 EST 1996

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 G06F - ELECTRIC DIGITAL DATA PROCESSING

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G - PHYSICS G06 - COMPUTING G06F - ELECTRIC DIGITAL DATA PROCESSING
G06F30/18 - Network design, e.g. design based on topological or interconnect aspects of utility systems, piping, heating ventilation air conditioning [HVAC] or cabling
G06F30/392 - Floor-planning or layout, e.g. partitioning or placement

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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.

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                    Hendrickson, Bruce A, & Leland, Robert W. Multidimensional spectral load balancing.  United States.

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                    Hendrickson, Bruce A, and Leland, Robert W. Mon .  
        "Multidimensional spectral load balancing".  United States.  https://www.osti.gov/servlets/purl/870755.

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@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         = {Mon Jan 01 00:00:00 EST 1996},

  month        = {Mon Jan 01 00:00:00 EST 1996}

}

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Works referenced in this record:

Partitioning of unstructured problems for parallel processing
journal, January 1991

Simon, H. D.
Computing Systems in Engineering, Vol. 2, Issue 2-3
https://doi.org/10.1016/0956-0521(91)90014-V