Independence complexes of generalized Mycielskian graphs
Combinatorics
2026-03-09 v2 Algebraic Topology
Abstract
We show that the homotopy type of the independence complex of the generalized Mycielskian of a graph is determined by the homotopy type of the independence complex of and the homotopy type of the independence complex of the Kronecker double cover of . As an application we calculate the homotopy type for paths, cycles and the categorical product of two complete graphs.
Keywords
Cite
@article{arxiv.2601.13432,
title = {Independence complexes of generalized Mycielskian graphs},
author = {Andrés Carnero Bravo},
journal= {arXiv preprint arXiv:2601.13432},
year = {2026}
}