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arXiv · 1705.05510

Antimatroids Induced by Matchings

Yasushi Kawase·Yutaro Yamaguchi
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Abstract

We explore novel connections between antimatroids and matchings in bipartite graphs. In particular, we prove that a combinatorial structure induced by stable matchings or maximum-weight matchings is an antimatroid. Moreover, we demonstrate that every antimatroid admits such a representation by stable matchings and maximum-weight matchings.

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Yasushi Kawase, Yutaro Yamaguchi. 2018-09-11. Antimatroids Induced by Matchings. https://arxiv.org/abs/1705.05510

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