{
  "id": "2409.15709",
  "version": "v1",
  "published": "2024-09-24T03:55:26.000Z",
  "updated": "2024-09-24T03:55:26.000Z",
  "title": "$R(5,5)\\le 46$",
  "authors": [
    "Vigleik Angeltveit",
    "Brendan D. McKay"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove that the Ramsey number $R(5,5)$ is less than or equal to~$46$. The proof uses a combination of linear programming and checking a large number of cases by computer. All of the computations were independently replicated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-24T03:55:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05D10"
    ],
    "keywords": [
      "ramsey number",
      "large number",
      "combination"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}