a fast and high quality multilevel scheme for partitioning irregular graphs


a fast and high quality multilevel scheme for partitioning irregular graphs


SIAM Journal on Scientific Computing 20(1), 359-392 SIAM Journal on Scientific Computing 20(1), 359-392 We investigate the effectiveness of many different choices for all three phases: coarsening, partition of the coarsest graph, and refinement.

title = "A fast and high quality multilevel scheme for partitioning irregular graphs", abstract = "Recently, a number of researchers have investigated a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller graph, and then uncoarsen it to construct a partition for the original graph [Bui and Jones, Proc. In particular, we present a new coarsening heuristic (called heavy-edge heuristic) for which the size of the partition of the coarse graph is within a small factor of the size of the final partition obtained after multilevel refinement. Our experiments show that our scheme produces partitions that are consistently better than those produced by spectral partitioning schemes in substantially smaller time. A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs.
Recently, a number of researchers have investigated a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller graph, and then uncoarsen it to construct a partition for the original graph [4, 26]. We also present a much faster variation of the Kernighan-Lin (KL) algorithm for refining during uncoarsening.

20, No. A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs George Karypis and Vipin Kumar Jared Di Carlo April 23, 2019

Dive into the research topics of 'A fast and high quality multilevel scheme for partitioning irregular graphs'. Together they form a unique fingerprint. AU - Karypis, George. Recently, a number of researchers have investigated a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller graph, and then uncoarsen it to construct a partition for the original graph [Bui and Jones, Proc. Abstract. This alert has been successfully added and will be sent to:You will be notified whenever a record that you have chosen has been cited.To manage your alert preferences, click on the button below.Recently, a number of researchers have investigated a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller graph, and then uncoarsen it to construct a partition for the original graph [Bui and Jones, Check if you have access through your login credentials or your institution to get full access on this article.We use cookies to ensure that we give you the best experience on our website.The ACM Digital Library is published by the Association for Computing Machinery. We investigate the effectiveness of many different choices for all three phases: coarsening, partition of the coarsest graph, and refinement. We test our scheme on a large number of graphs arising in various domains including finite element methods, linear programming, VLSI, and transportation.

PY - 1998/1/1 Graph Partitioning I Divide vertices into p parts of roughly equal size (or sum of vertex weights) I Minimize edges across parts I NP-Complete. Also, when our scheme is used to compute fill-reducing orderings for sparse matrices, it produces orderings that have substantially smaller fill than the widely used multiple minimum degree algorithm. In view of the current Corona Virus epidemic, Schloss Dagstuhl has moved its 2020 proposal submission period to July 1 to July 15, 2020 , and there will not be another proposal round in November 2020. A fast and high quality multilevel scheme for partitioning irregular graphsA fast and high quality multilevel scheme for partitioning irregular graphsA fast and high quality multilevel scheme for partitioning irregular graphs °c 1998 Society for Industrial and Applied Mathematics Vol.
We also present a much faster variation of the Kernighan-Lin (KL) algorithm for refining during uncoarsening.

of the 6th SIAM Conference on Parallel Processing for Scientific Computing, 1993, 445-452; Hendrickson and Leland, A Multilevel Algorithm for Partitioning Graphs, Tech.

Also, when our scheme is used to compute fill-reducing orderings for sparse matrices, it produces orderings that have substantially smaller fill than the widely used multiple minimum degree algorithm.AB - Recently, a number of researchers have investigated a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller graph, and then uncoarsen it to construct a partition for the original graph [Bui and Jones, Proc.

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    a fast and high quality multilevel scheme for partitioning irregular graphs