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Simple homotopy types of independence complexes of graphs involving grid graphs (1908.09356v1)
Published 25 Aug 2019 in math.AT and math.CO
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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