Kengo Okura

activity

20192023

collaborators

4 papers

math.CO2023

On the Homotopy Type of the Polyhedral Join over the Independence Complex of a Forest

Kengo Okura

We consider a certain class of simplicial complexes which includes the independence complexes of forests. We show that if a simplicial complex $K$ belongs to this class, then the p…

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…