{
  "id": "1203.6145",
  "version": "v2",
  "published": "2012-03-28T03:29:23.000Z",
  "updated": "2012-04-30T09:35:18.000Z",
  "title": "Incidence coloring of Regular graphs and Complement graphs",
  "authors": [
    "Pak Kiu Sun"
  ],
  "comment": "This paper have been withdrawn since the article to appear in Taiwanese Journal of Mathematics and it will offense the rules",
  "categories": [
    "math.CO"
  ],
  "abstract": "Using a relation between domination number and incidence chromatic number, we obtain necessary and sufficient conditions for $r$-regular graphs to be $(r+1)$-incidence colorable. Also, we determine the optimal Nordhaus-Gaddum inequality for the incidence chromatic number.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-30T09:35:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C15",
      "05C69"
    ],
    "keywords": [
      "regular graphs",
      "complement graphs",
      "incidence coloring",
      "incidence chromatic number",
      "optimal nordhaus-gaddum inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.6145K"
    }
  }
}