{
  "id": "2109.03654",
  "version": "v1",
  "published": "2021-09-08T14:01:36.000Z",
  "updated": "2021-09-08T14:01:36.000Z",
  "title": "Triple intersection numbers for the Paley graphs",
  "authors": [
    "Andries E. Brouwer",
    "William J. Martin"
  ],
  "comment": "3 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give a tight bound for the triple intersection numbers of Paley graphs. In particular, we show that any three vertices have a common neighbor in Paley graphs of order larger than 25.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-08T14:01:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E30",
      "11T99"
    ],
    "keywords": [
      "triple intersection numbers",
      "paley graphs",
      "tight bound",
      "common neighbor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}