{
  "id": "1206.0799",
  "version": "v2",
  "published": "2012-06-05T00:08:34.000Z",
  "updated": "2018-04-29T22:33:22.000Z",
  "title": "A method to determine algebraically integral Cayley digraphs on finite Abelian group",
  "authors": [
    "Fei Li"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Researchers in the past have studied eigenvalues of Cayley digraphs or graphs. We are interested in characterizing Cayley digraphs on a finite Abelian group G whose eigenvalues are algebraic integers in a given number field K. And we succeed in finding a method to do so by proving Theorem 1. Also, the number of such Cayley digraphs is computed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-05T00:08:34.000Z",
      "title": "Determination of Integral Cayley Graphs on Finite Abelian Groups",
      "abstract": "A graph is integral means that all its eigenvalues are integers. In this note, we determine all the integral Cayley graphs on finite abelian groups. Moreover, we calculate the the number of integral Cayley graphs on a given finite abelian group.",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2018-04-29T22:33:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C25",
      "05C50"
    ],
    "keywords": [
      "finite abelian group",
      "integral cayley graphs",
      "determination",
      "integral means"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.0799L"
    }
  }
}