K. Kimura

most citedArithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AC2011★ 1 cited

Arithmetical rank of squarefree monomial ideals generated by five elements or with arithmetic degree four

Kyouko Kimura, Giancarlo Rinaldo, Naoki Terai

Let $I$ be a squarefree monomial ideal of a polynomial ring $S$ . In this paper, we prove that the arithmetical rank of $I$ is equal to the projective dimension of $S / I$ when one of…

math.AC2011

Depth of initial ideals of normal edge rings

Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura +1

Let $G$ be a finite graph on the vertex set $[d] = {1, ..., d}$ with the edges $e_{1}, ..., e_{n}$ and $K[\tb] = K[t_1, ..., t_d]$ the polynomial ring in $d$ variables over a field…

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 squarefree monomial ideals generated by five elements or with arithmetic degree four

Depth of initial ideals of normal edge rings

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

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