{
  "id": "2204.02858",
  "version": "v1",
  "published": "2022-04-06T14:27:12.000Z",
  "updated": "2022-04-06T14:27:12.000Z",
  "title": "A characterisation of 3-colourable 3-dimensional triangulations",
  "authors": [
    "Johannes Carmesin",
    "Emily Nevinson",
    "Bethany Saunders"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We extend Heawood's theorem on the colourability of plane triangulations to triangulations of 3-space. This proves the 3-dimensional case from a conjecture by Robert D Edwards, Jacob Eli Goodman, and Hironori Onishi.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-06T14:27:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E45",
      "05C15",
      "05C10"
    ],
    "keywords": [
      "characterisation",
      "extend heawoods theorem",
      "jacob eli goodman",
      "plane triangulations",
      "hironori onishi"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}