{
  "id": "2409.06138",
  "version": "v1",
  "published": "2024-09-10T01:27:55.000Z",
  "updated": "2024-09-10T01:27:55.000Z",
  "title": "Hamilton cycles in vertex-transitive graphs of order $6p$",
  "authors": [
    "Shaofei Du",
    "Tianlei Zhou"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "It was shown that every connected vertex-transitive graph of order $6p$, where $p$ is a prime, contains a Hamilton path \\cite{KS09}. It will be shown in this paper that every such graph contains a Hamilton cycle, except for the triangle-replaced graph of the Petersen graph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-10T01:27:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hamilton cycle",
      "petersen graph",
      "graph contains",
      "hamilton path"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}