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arXiv · 2601.13432

Independence complexes of generalized Mycielskian graphs

Andrés Carnero Bravo
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Abstract

We show that the homotopy type of the independence complex of the generalized Mycielskian of a graph $G$ is determined by the homotopy type of the independence complex of $G$ and the homotopy type of the independence complex of the Kronecker double cover of $G$. As an application we calculate the homotopy type for paths, cycles and the categorical product of two complete graphs.

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Andrés Carnero Bravo. 2026-03-05. Independence complexes of generalized Mycielskian graphs. https://arxiv.org/abs/2601.13432

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