{
  "id": "2310.07214",
  "version": "v1",
  "published": "2023-10-11T06:00:00.000Z",
  "updated": "2023-10-11T06:00:00.000Z",
  "title": "Borodin-Kostochka Conjecture holds for odd-hole-free graphs",
  "authors": [
    "Rong Chen",
    "Kaiyang Lan",
    "Xinheng Lin",
    "Yidong Zhou"
  ],
  "comment": "Submitted",
  "categories": [
    "math.CO"
  ],
  "abstract": "The Borodin-Kostochka Conjecture states that for a graph $G$, if $\\Delta(G)\\geq 9$, then $\\chi(G)\\leq\\max\\{\\Delta(G)-1,\\omega(G)\\}$. In this paper, we prove the Borodin-Kostochka Conjecture holding for odd-hole-free graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-11T06:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "borodin-kostochka conjecture holds",
      "odd-hole-free graphs",
      "borodin-kostochka conjecture states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}