{
  "id": "1201.3886",
  "version": "v1",
  "published": "2012-01-18T19:30:40.000Z",
  "updated": "2012-01-18T19:30:40.000Z",
  "title": "Closed-form expansions for the bivariate chromatic polynomial of paths and cycles",
  "authors": [
    "Klaus Dohmen"
  ],
  "comment": "4 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We establish closed-form expansions for the number of colorings of a path or cycle on n vertices with colors from 1,...,x such that adjacent vertices are colored differently or with colors from y+1,...x.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-18T19:30:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C15",
      "05A15",
      "05C30"
    ],
    "keywords": [
      "bivariate chromatic polynomial",
      "adjacent vertices",
      "establish closed-form expansions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.3886D"
    }
  }
}