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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3 papers · 1 filter

math.CO2020

The regularity and $h$ -polynomial of Cameron-Walker graphs

Takayuki Hibi, Kyouko Kimura, Kazunori Matsuda +1

Fix an integer $n \geq 1$ , and consider the set of all connected finite simple graphs on $n$ vertices. For each $G$ in this set, let $I (G)$ denote the edge ideal of $G$ in the poly…

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 $G$ is at least the induced matching number of $G$ and is at most the minimum matching number of $G$ . If $G$ possesses a do…

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…

The regularity and h-polynomial of Cameron-Walker graphs

Dominating induced matchings of finite graphs and regularity of edge ideals

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

The regularity and $h$ -polynomial of Cameron-Walker graphs

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