{
  "id": "1911.09444",
  "version": "v1",
  "published": "2019-11-21T12:55:04.000Z",
  "updated": "2019-11-21T12:55:04.000Z",
  "title": "On the equivalence between a conjecture of Babai-Godsil and a conjecture of Xu concerning the enumeration of Cayley graphs",
  "authors": [
    "Pablo Spiga"
  ],
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "In this paper we show that two distinct conjectures, the first proposed by Babai and Godsil in $1982$ and the second proposed by Xu in $1998$, concerning the asymptotic enumeration of Cayley graphs are in fact equivalent. This result follows from a more general theorem concerning the asymptotic enumeration of a certain family of Cayley graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-21T12:55:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cayley graphs",
      "xu concerning",
      "babai-godsil",
      "equivalence",
      "asymptotic enumeration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}