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Homology, Homotopy and Applications
Volume 26 (2024)
Number 1
Independence complexes of $(n \times 6)$-grid graphs
Pages: 15 – 27
DOI: https://dx.doi.org/10.4310/HHA.2024.v26.n1.a2
Authors
Abstract
We determine the homotopy types of the independence complexes of the $(n \times 6)$-square grid graphs. In fact, we show that these complexes are homotopy equivalent to wedges of spheres.
Keywords
independence complex, square grid graph
2010 Mathematics Subject Classification
05C69, 55P10
Received 31 July 2022
Received revised 27 January 2023
Accepted 27 January 2023
Published 24 January 2024