{
  "id": "1705.01275",
  "version": "v1",
  "published": "2017-05-03T07:10:21.000Z",
  "updated": "2017-05-03T07:10:21.000Z",
  "title": "Laplacian Spectrum of non-commuting graphs of finite groups",
  "authors": [
    "Parama Dutta",
    "Jutirekha Dutta",
    "Rajat Kanti Nath"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1604.07133",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper, we compute the Laplacian spectrum of non-commuting graphs of some classes of finite non-abelian groups. Our computations reveal that the non-commuting graphs of all the groups considered in this paper are L-integral. We also obtain some conditions on a group $G$ so that its non-commuting graph is L-integral.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-03T07:10:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-commuting graph",
      "laplacian spectrum",
      "finite groups",
      "finite non-abelian groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}