{
  "id": "2303.11822",
  "version": "v1",
  "published": "2023-03-21T13:06:41.000Z",
  "updated": "2023-03-21T13:06:41.000Z",
  "title": "On the distribution of eigenvalues in families of Cayley graphs",
  "authors": [
    "Matilde Lalin",
    "Anwesh Ray"
  ],
  "comment": "17 pages",
  "categories": [
    "math.CO",
    "math.NT",
    "math.PR"
  ],
  "abstract": "We consider the family of undirected Cayley graphs associated with odd cyclic groups, and study statistics for the eigenvalues in their spectra. Our results are motivated by analogies between arithmetic geometry and graph theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-21T13:06:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11H06",
      "05C25",
      "11N60",
      "11M38"
    ],
    "keywords": [
      "eigenvalues",
      "distribution",
      "odd cyclic groups",
      "study statistics",
      "arithmetic geometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}