{
  "id": "2305.03889",
  "version": "v1",
  "published": "2023-05-06T01:21:43.000Z",
  "updated": "2023-05-06T01:21:43.000Z",
  "title": "Graphs that contain a $K_{1,2,3}$ and no induced subdivision of $K_4$ are $4$-colorable",
  "authors": [
    "Rong Chen"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "In 2012, L\\'ev\\^eque, Maffray, and Trotignon conjectured that each graph $G$ that contains no induced subdivision of $K_4$ is $4$-colorable. In this paper, we prove that this conjecture holds when $G$ contains a $K_{1,2,3}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-06T01:21:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "induced subdivision",
      "conjecture holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}