{
  "id": "2202.01654",
  "version": "v1",
  "published": "2022-02-03T16:04:42.000Z",
  "updated": "2022-02-03T16:04:42.000Z",
  "title": "On the size-Ramsey number of grids",
  "authors": [
    "David Conlon",
    "Rajko Nenadov",
    "Miloš Trujić"
  ],
  "comment": "8 pages, 1 figure",
  "categories": [
    "math.CO"
  ],
  "abstract": "We show that the size-Ramsey number of the $\\sqrt{n} \\times \\sqrt{n}$ grid graph is $O(n^{5/4})$, improving a previous bound of $n^{3/2 + o(1)}$ by Clemens, Miralaei, Reding, Schacht, and Taraz.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-03T16:04:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "size-ramsey number",
      "grid graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}