Computing minimum-weight perfect matchings

Computing minimum-weight perfect matchings

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Article ID: iaor20003003
Country: United States
Volume: 11
Issue: 2
Start Page Number: 138
End Page Number: 148
Publication Date: Mar 1999
Journal: INFORMS Journal On Computing
Authors: ,
Keywords: networks
Abstract:

We make several observations on the implementation of Edmonds' blossom algorithm for solving minimum-weight perfect-matching problems and we present computational results for geometric problem instances ranging in size from 1,000 nodes up to 5,000,000 nodes. A key feature in our implementation is the use of multiple search trees with an individual dual-change ε for each tree. As a benchmark of the algorithm's performance, solving a 100,000-node geometric instance on a 200 MHz Pentium-Pro computer takes approximately 3 minutes.

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