A detailed introduction to a minimum-cost perfect matching algorithm based on linear programming

Kevin K. H. Cheung () and Kyel Governor
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Kevin K. H. Cheung: Carleton University

Journal of Combinatorial Optimization, 2023, vol. 45, issue 3, No 3, 27 pages

Abstract: Abstract Full technical details for a slightly simplified version of the minimum weight perfect matching via blossom belief propagation by Ahn, Park, Chertkov and Shin (in Advances in neural information processing systems, vol 28, Curran Associates, Inc., 2015) are provided. An example showing the necessity of a certain uniqueness assumption is given. An alternative to perturbing the edge weights to ensure the uniqueness assumption is satisfied is suggested.

Keywords: Perfect matching; Uniqueness; Perturbation; Linear programming (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10878-023-00998-8

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