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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Showing 2013Show all

2 papers · 1 filter

math.AC2013★ 2 cited

Algebraic study on Cameron-Walker graphs

Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura +1

Let $G$ be a finite simple graph on $[n]$ and $I (G) \subset S$ the edge ideal of $G$ , where $S = K [x_{1}, \dots, x_{n}]$ is the polynomial ring over a field $K$ . Let $m (G)$ denote…

math.AC2013

Non-vanishing of Betti numbers of edge ideals and complete bipartite subgraphs

Kyouko Kimura

Given a finite simple graph one can associate the edge ideal. In this paper we prove that a graded Betti number of the edge ideal does not vanish if the original graph contains a s…