{
  "id": "1207.1882",
  "version": "v2",
  "published": "2012-07-08T15:37:33.000Z",
  "updated": "2013-12-18T09:54:52.000Z",
  "title": "Realizing the chromatic numbers and orders of spinal quadrangulations of surfaces",
  "authors": [
    "Serge Lawrencenko"
  ],
  "comment": "6 pages. This version is only slightly different from the original version submitted on 8 Jul 2012: the author's affiliation has been changed and the presentation has been slightly improved",
  "journal": "Journal of Combinatorial Mathematics and Combinatorial Computing (Canada) 87 (2013), 303-308",
  "categories": [
    "math.CO"
  ],
  "abstract": "A method is suggested for construction of quadrangulations of the closed orientable surface with given genus g and either (1) with given chromatic number or (2) with given order allowed by the genus g. In particular, N. Hartsfield and G. Ringel's results [Minimal quadrangulations of orientable surfaces, J. Combin. Theory, Series B 46 (1989) 84-95] are generalized by way of generating new minimal quadrangulations of infinitely many other genera.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-18T09:54:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C10",
      "05C15",
      "05C75",
      "57M15"
    ],
    "keywords": [
      "chromatic number",
      "spinal quadrangulations",
      "minimal quadrangulations",
      "ringels results",
      "hartsfield"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.1882L"
    }
  }
}