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

  • Takahiro Matsushita
    Department of Mathematical Sciences, Faculty of Science, Shinshu University, Matsumoto, Nagano, Japan
  • Shun Wakatsuki
    Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya, Japan

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説明

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

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