14 citations · 24 across the 15 of their papers we have counts for
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math.CO2014★ 1 cited
Dominating induced matchings of finite graphs and regularity of edge ideals
Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura +1
The regularity of an edge ideal of a finite simple graph is at least the induced matching number of and is at most the minimum matching number of . If possesses a do…
math.AC2014
Arithmetical rank of strings and cycles
Kyouko Kimura, Paolo Mantero
Let be a polynomial ring over a field . To a given squarefree monomial ideal , one can associate a hypergraph . In this article, we prove that the arithme…