{
  "id": "2405.03229",
  "version": "v1",
  "published": "2024-05-06T07:40:14.000Z",
  "updated": "2024-05-06T07:40:14.000Z",
  "title": "Spectral conditions for the existence of (doubly) chorded cycles in graphs with fixed size",
  "authors": [
    "Jin Cai",
    "Leyou Xu",
    "Bo Zhou"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "A chorded cycle is a cycle with at least one chord, and a doubly chorded cycle is a cycle with at least two chords. Gould asked in [Graphs Comb. 38 (2022) 189] the question: What spectral conditions imply a graph contains a chorded cycle? For a graph with fixed size, extremal spectral conditions are given to ensure that a graph contains a chorded cycle and a doubly chorded cycle, respectively, via spectral radius.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-06T07:40:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fixed size",
      "doubly chorded cycle",
      "graph contains",
      "extremal spectral conditions",
      "graphs comb"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}