{
  "id": "1406.5615",
  "version": "v2",
  "published": "2014-06-21T14:32:09.000Z",
  "updated": "2014-07-11T13:08:45.000Z",
  "title": "Triangulated map with minimum degree four is Hamiltonian",
  "authors": [
    "Dipendu Maity",
    "Ashish Kumar Upadhyay"
  ],
  "comment": "This paper has been withdrawn by the author due to a crucial error in the result",
  "categories": [
    "math.CO",
    "math.GT"
  ],
  "abstract": "A $triangulation$ is an embedding of a graph on surfaces where every face has length three. In this article, we show the existence of contractible Hamiltonian cycle in triangulated maps of which minimum degree is four.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-11T13:08:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M20",
      "57N05",
      "05C38"
    ],
    "keywords": [
      "minimum degree",
      "triangulated map",
      "contractible hamiltonian cycle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.5615M"
    }
  }
}