{
  "id": "1706.03109",
  "version": "v1",
  "published": "2017-06-09T20:09:21.000Z",
  "updated": "2017-06-09T20:09:21.000Z",
  "title": "Complete colorings of planar graphs",
  "authors": [
    "M. Gabriela Araujo-Pardo",
    "F. Esteban Contreras-Mendoza",
    "Sara J. Murillo-García",
    "Andrea B. Ramos-Tort",
    "Christian Rubio-Montiel"
  ],
  "comment": "18 pages, 10 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we study the achromatic and the pseudoachromatic numbers of planar and outerplanar graphs as well as planar graphs of girth 4 and graphs embedded on a surface. We give asymptotically tight results and lower bounds for maximal embedded graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-09T20:09:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C10",
      "05C15"
    ],
    "keywords": [
      "complete colorings",
      "maximal embedded graphs",
      "lower bounds",
      "asymptotically tight results",
      "pseudoachromatic numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}