{
  "id": "1703.08768",
  "version": "v1",
  "published": "2017-03-26T05:31:13.000Z",
  "updated": "2017-03-26T05:31:13.000Z",
  "title": "$R(5,5) \\le 48$",
  "authors": [
    "Vigleik Angeltveit",
    "Brendan D. McKay"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We improve the upper bound on the Ramsey number $R(5,5)$ from $R(5,5) \\le 49$ to $R(5,5) \\le 48$. We also complete the catalogue of extremal graphs for $R(4,5)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-26T05:31:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05D10"
    ],
    "keywords": [
      "ramsey number",
      "upper bound",
      "extremal graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}