{
  "id": "2112.13499",
  "version": "v3",
  "published": "2021-12-27T03:54:01.000Z",
  "updated": "2024-04-12T06:52:46.000Z",
  "title": "Notes on the diameter of the complement of the power graph of a finite group",
  "authors": [
    "Xuanlong Ma",
    "Alireza Doostabadi",
    "Kaishun Wang"
  ],
  "comment": "This paper has been accepted by the journal Ars Mathematica Contemporanea",
  "categories": [
    "math.GR",
    "math.CO"
  ],
  "abstract": "We determine the diameter of every connected component of the complement of the power graph and the enhanced power graph of a finite group, which completely answers two questions by Peter J. Cameron.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2024-04-12T06:52:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C25",
      "05C12"
    ],
    "keywords": [
      "finite group",
      "complement",
      "enhanced power graph",
      "connected component"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}