{
  "id": "2303.08798",
  "version": "v1",
  "published": "2023-03-15T17:48:21.000Z",
  "updated": "2023-03-15T17:48:21.000Z",
  "title": "Independence complexes of wedge of graphs",
  "authors": [
    "Navnath Daundkar",
    "Saikat Panja",
    "Sachchidanand Prasad"
  ],
  "comment": "12 pages, 9 figures, 2 tables. Comments are welcome",
  "categories": [
    "math.CO",
    "math.AT"
  ],
  "abstract": "In this article, we introduce the notion of a wedge of graphs and provide detailed computations for the independence complex of a wedge of path and cycle graphs. In particular, we show that these complexes are either contractible or wedges of spheres.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-15T17:48:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C69",
      "55P15",
      "05C10"
    ],
    "keywords": [
      "independence complex",
      "cycle graphs",
      "detailed computations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}