Independence complexes of $(n\times 6)$-grid graphs

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.

13 pages, 7 figures, final version, to appear in Homology, Homotopy and Applications. arXiv admin note: text overlap with arXiv:2203.16391