K. Kimura

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

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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…

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

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