TY - JOUR
T1 - Antimatroids induced by matchings
AU - Kawase, Yasushi
AU - Yamaguchi, Yutaro
N1 - Funding Information:
The first author was supported by JSPS KAKENHI, Japan, Grant Number 16K16005 and the second author was supported by JSPS KAKENHI, Japan, Grant Number 16H06931.
Publisher Copyright:
© 2018 Elsevier B.V.
PY - 2019/3/31
Y1 - 2019/3/31
N2 - 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.
AB - 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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U2 - 10.1016/j.dam.2018.09.032
DO - 10.1016/j.dam.2018.09.032
M3 - Article
AN - SCOPUS:85055579103
SN - 0166-218X
VL - 257
SP - 342
EP - 349
JO - Discrete Applied Mathematics
JF - Discrete Applied Mathematics
ER -