{
  "id": "1504.02403",
  "version": "v1",
  "published": "2015-04-09T17:58:49.000Z",
  "updated": "2015-04-09T17:58:49.000Z",
  "title": "New Lower Bounds for $18$ Classical $2$-Color Ramsey Numbers",
  "authors": [
    "Geoffrey Exoo",
    "Milos Tatarevic"
  ],
  "comment": "6 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "New lower bounds for $18$ classical $2$-color Ramsey numbers are presented. Several of the these constructions are derived from two well-known colorings: the Paley coloring on $101$ vertices and the cubic coloring on $127$ vertices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-09T17:58:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C55",
      "05D10"
    ],
    "keywords": [
      "color ramsey numbers",
      "lower bounds",
      "well-known colorings",
      "constructions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150402403E"
    }
  }
}