Antimatroids Induced by Matchings
نویسندگان
چکیده
An antimatroid is a combinatorial structure abstracting the convexity in geometry. In this paper, we explore novel connections between antimatroids and matchings in a bipartite graph. In particular, we prove that a combinatorial structure induced by stable matchings or maximumweight 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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ورودعنوان ژورنال:
- CoRR
دوره abs/1705.05510 شماره
صفحات -
تاریخ انتشار 2017