Kengo Okura

activity

20192022

collaborators

3 papers

math.CO2022

Shellability of Polyhedral Joins of Simplicial Complexes and Its Application to Graph Theory

Kengo Okura

We investigate the shellability of the polyhedral join $Z_{M}^{*} (K, L)$ of simplicial complexes $K, M$ and a subcomplex $L \subset K$ . We give sufficient conditions and nec…

math.CO2021

Independence Complex of the Lexicographic Product of a Forest

Kengo Okura

We study the independence complex of the lexicographic product $G [H]$ of a forest $G$ and a graph $H$ . We prove that for a forest $G$ which is not dominated by a single vertex, if…

math.AT2019

Simple homotopy types of independence complexes of graphs involving grid graphs

Kengo Okura

We show that if a graph $G$ involves a certain square grid graph as a full subgraph, then a certain operation on it yields a simplicial suspension of the independence complex of $G…