English

Independence complexes of $(n \times 4)$ and $(n \times 5)$-grid graphs

Algebraic Topology 2023-04-25 v2 Combinatorics

Abstract

We determine the homotopy types of the independence complexes of (n×4)(n \times 4) and (n×5)(n \times 5)-square grid graphs. In fact, they are homotopy equivalent to wedges of spheres.

Keywords

Cite

@article{arxiv.2203.16391,
  title  = {Independence complexes of $(n \times 4)$ and $(n \times 5)$-grid graphs},
  author = {Takahiro Matsushita and Shun Wakatsuki},
  journal= {arXiv preprint arXiv:2203.16391},
  year   = {2023}
}

Comments

20 pages, 15 figures, minor revision, to appear in Topology and its Applications