K. Kimura

activity

20092020

a

-invariant of Cameron--Walker graphs

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

collaborators

Showing 2011 · math.ACShow all

3 papers · 2 filters

math.AC2011★ 2 cited

Non-vanishingness of Betti numbers of edge ideals

Kyouko Kimura

Given finite simple graph one can associate the edge ideal. In this paper we discuss the non-vanishingness of the graded Betti numbers of edge ideals in terms of the original graph…

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…