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arXiv · 1908.09356

Simple homotopy types of independence complexes of graphs involving grid graphs

Kengo Okura
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Abstract

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 $G$. This generalizes a result of Csorba. As a corollary, we determine the simple homotopy types of the independence complexes of some grid graphs.

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Kengo Okura. 2019-08-25. Simple homotopy types of independence complexes of graphs involving grid graphs. https://arxiv.org/abs/1908.09356

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