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- W4316652268 abstract "Given a graph with edges colored red or blue and an integer k, the exact perfect matching problem asks if there exists a perfect matching with exactly k red edges. There exists a randomized polylogarithmic-time parallel algorithm to solve this problem, dating back to the eighties, but no deterministic polynomial-time algorithm is known, even for bipartite graphs. In this paper we show that there is no sub-exponential sized linear program that can describe the convex hull of exact matchings in bipartite graphs. In fact, we prove something stronger, that there is no sub-exponential sized linear program to describe the convex hull of perfect matchings with an odd number of red edges." @default.
- W4316652268 created "2023-01-17" @default.
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- W4316652268 date "2023-01-01" @default.
- W4316652268 modified "2023-09-27" @default.
- W4316652268 title "The Exact Bipartite Matching Polytope Has Exponential Extension Complexity" @default.
- W4316652268 doi "https://doi.org/10.1137/1.9781611977554.ch61" @default.
- W4316652268 hasPublicationYear "2023" @default.
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