{
  "id": "2408.13839",
  "version": "v1",
  "published": "2024-08-25T14:00:09.000Z",
  "updated": "2024-08-25T14:00:09.000Z",
  "title": "On a question of Erdős and Gimbel on the cochromatic number",
  "authors": [
    "Annika Heckel"
  ],
  "comment": "4 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this note, we show that the difference between the chromatic and the cochromatic number of the random graph $G_{n,1/2}$ is not whp bounded by $n^{1/2-o(1)}$, addressing a question of Erd\\H{o}s and Gimbel.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-25T14:00:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C15",
      "05C80"
    ],
    "keywords": [
      "cochromatic number",
      "random graph",
      "difference"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}