{
  "id": "2411.10365",
  "version": "v1",
  "published": "2024-11-15T17:14:20.000Z",
  "updated": "2024-11-15T17:14:20.000Z",
  "title": "Bounds on the connectivity of the independence complexes of hypergraphs",
  "authors": [
    "Demet Taylan"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CO",
    "math.AT"
  ],
  "abstract": "We provide lower bounds on the connectivity of the independence complexes of hypergraphs. Additionally, we compute the homotopy types of the independence complexes of $d$-uniform properly-connected triangulated hypergraphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-15T17:14:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C65",
      "05C69",
      "55U10"
    ],
    "keywords": [
      "independence complexes",
      "connectivity",
      "uniform properly-connected triangulated hypergraphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}