K. Kimura

activity

20092020

a

-invariant of Cameron--Walker graphs

14 citations · 24 across the 15 of their papers we have counts for

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math.AC2009★ 2 cited

Arithmetical rank of Cohen-Macaulay squarefree monomial ideals of height two

Kyouko Kimura

In this paper, we prove that a squarefree monomial ideal of height 2 whose quotient ring is Cohen-Macaulay is set-theoretic complete intersection.

math.AC2009

Schmitt-Vogel type lemma for reductions

Kyouko Kimura, Naoki Terai, Ken-ichi Yoshida

The lemma given by Schmitt and Vogel is an important tool in the study of arithmetical rank of squarefree monomial ideals. In this paper, we give a Schmitt-Vogel type lemma for red…

math.CO2009

Betti numbers of chordal graphs and $f$ -vectors of simplicial complexes

Takayuki Hibi, Kyouko Kimura, Satoshi Murai

Let $G$ be a chordal graph and $I (G)$ its edge ideal. Let $β (I (G)) = (β_{0}, β_{1}, ..., β_{p})$ denote the Betti sequence of $I (G)$ , where $β_{i}$ stands for the $i$ th total Betti number…

Arithmetical rank of Cohen-Macaulay squarefree monomial ideals of height two

Schmitt-Vogel type lemma for reductions

Betti numbers of chordal graphs and f-vectors of simplicial complexes

Betti numbers of chordal graphs and $f$ -vectors of simplicial complexes