{
  "id": "2106.01634",
  "version": "v1",
  "published": "2021-06-03T07:11:58.000Z",
  "updated": "2021-06-03T07:11:58.000Z",
  "title": "$5$-list-coloring toroidal $6$-regular triangulations in linear time",
  "authors": [
    "Niranjan Balachandran",
    "Brahadeesh Sankarnarayanan"
  ],
  "comment": "37 pages, 14 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give an explicit procedure for $5$-list-coloring a large class of toroidal $6$-regular triangulations in linear time. We also show that these graphs are not $3$-choosable, so the choice number of each of these graphs is either $4$ or $5$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-03T07:11:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C15",
      "05C85",
      "05C10",
      "05C75"
    ],
    "keywords": [
      "linear time",
      "regular triangulations",
      "list-coloring toroidal",
      "explicit procedure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}