Simple homotopy types of independence complexes of graphs involving grid graphs
Kengo Okura · arXiv (Cornell University) · 2019
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.