Multilevel Algorithm for Graph Partitioning
A class of multilevel algorithms for partitioning of a sparse matrix prior to parallel solution of a system of linear equations is described. This matrix partitioning problem can be described in terms of a graph partitioning problem which is known to be NP-hard, so several heuristics for its solutio...
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| Published in | Matrix Methods: Theory, Algorithms And Applications pp. 433 - 448 |
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| Main Authors | , , |
| Format | Book Chapter |
| Language | English |
| Published |
WORLD SCIENTIFIC
01.04.2010
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| Subjects | |
| Online Access | Get full text |
| ISBN | 9812836020 9789812836014 9812836012 9814469556 9789812836021 9789814469555 |
| DOI | 10.1142/9789812836021_0028 |
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| Abstract | A class of multilevel algorithms for partitioning of a sparse matrix prior to parallel solution of a system of linear equations is described. This matrix partitioning problem can be described in terms of a graph partitioning problem which is known to be NP-hard, so several heuristics for its solution have been proposed in the past decades. For this purpose we use the multilevel algorithm proposed by B. Hendrickson and R. Leland [2] and further developed by G. Karypis and V. Kumar [3]. This algorithm is very efficient and tends to produce high quality partitioning for a wide range of matrices arising in many practical applications. |
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| AbstractList | A class of multilevel algorithms for partitioning of a sparse matrix prior to parallel solution of a system of linear equations is described. This matrix partitioning problem can be described in terms of a graph partitioning problem which is known to be NP-hard, so several heuristics for its solution have been proposed in the past decades. For this purpose we use the multilevel algorithm proposed by B. Hendrickson and R. Leland [2] and further developed by G. Karypis and V. Kumar [3]. This algorithm is very efficient and tends to produce high quality partitioning for a wide range of matrices arising in many practical applications. |
| Author | Pravilnikov, V. Y. Bochkarev, N. S. Diyankov, O. V. |
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| Editor | Olshevsky, Vadim Tyrtyshnikov, Eugene |
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| Keywords | graph partitioning load balancing parallel computations |
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| StartPage | 433 |
| SubjectTerms | Matrices and Applications |
| Title | Multilevel Algorithm for Graph Partitioning |
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