{
  "id": "math/0702182",
  "version": "v1",
  "published": "2007-02-07T12:32:27.000Z",
  "updated": "2007-02-07T12:32:27.000Z",
  "title": "Hamilton Paths and Cycles in Vertex-Transitive Graphs of Order $6p$",
  "authors": [
    "Klavdija Kutnar",
    "Primoz Sparl"
  ],
  "comment": "21 pages, 9 figures",
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "It is shown that every connected vertex-transitive graph of order $6p$, where $p$ is a prime, contains a Hamilton path. Moreover, it is shown that, except for the truncation of the Petersen graph, every connected vertex-transitive graph of order $6p$ which is not genuinely imprimitive contains a Hamilton cycle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-07T12:32:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C45",
      "20Bxx"
    ],
    "keywords": [
      "hamilton path",
      "connected vertex-transitive graph",
      "petersen graph",
      "hamilton cycle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2182K"
    }
  }
}