{
  "id": "1504.06095",
  "version": "v1",
  "published": "2015-04-23T09:15:11.000Z",
  "updated": "2015-04-23T09:15:11.000Z",
  "title": "On the Laplacian of strong power graphs of finite groups",
  "authors": [
    "A. K. Bhuniya",
    "S. Bera"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let $ G $ be a finite group of order $ n$. The strong power graph $\\mathcal{P}_s(G) $ of $G$ is the undirected graph whose vertices are the elements of $G$ such that two distinct vertices $a$ and $b$ are adjacent if $a^{{m}_1}$=$b^{{m}_2}$ for some positive integers ${m}_1 ,{m}_2 < n.$ In this article we give a complete characterization of Laplacian spectrum, and find the permanent of the Laplacian matrix of the strong power graph $\\mathcal{P}_s(G)$ for any finite group $G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-23T09:15:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50",
      "05C25"
    ],
    "keywords": [
      "strong power graph",
      "finite group",
      "distinct vertices",
      "complete characterization",
      "laplacian spectrum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}