{
  "id": "1311.2984",
  "version": "v3",
  "published": "2013-11-12T23:54:16.000Z",
  "updated": "2014-11-10T11:45:54.000Z",
  "title": "Edge-maximality of power graphs of finite cyclic groups",
  "authors": [
    "Brian Curtin",
    "Gholam Reza Pourgholi"
  ],
  "comment": "second set of corrections to technical lemmas, no changes to main result",
  "doi": "10.1007/s10801-013-0490-5",
  "categories": [
    "math.GR",
    "math.CO"
  ],
  "abstract": "We show that among all finite groups of any given order, the cyclic group of that order has the maximum number of edges in its power graph. Contains corrections to published version.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-03T14:16:27.000Z",
      "comment": null,
      "journal": null
    },
    {
      "version": "v3",
      "updated": "2014-11-10T11:45:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C25",
      "20F99"
    ],
    "keywords": [
      "finite cyclic groups",
      "power graph",
      "edge-maximality",
      "maximum number",
      "finite groups"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.2984C"
    }
  }
}