{
  "id": "1704.06464",
  "version": "v1",
  "published": "2017-04-21T09:48:01.000Z",
  "updated": "2017-04-21T09:48:01.000Z",
  "title": "Energy of commuting graph of finite groups whose centralizers are Abelian",
  "authors": [
    "Reza Sharafdini",
    "Rezvan Darbandi"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1604.07133 by other authors",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let $G$ be a finite group with centre $Z(G)$. The commuting graph of a non-Abelian group $G$, denoted by $\\Gamma_G$, is a simple undirected graph whose vertex set is $G\\setminus Z(G)$, and two vertices $x$ and $y$ are adjacent if and only if $xy = yx$. In this article we aim to compute the ordinary energy of $\\Gamma_G$ for groups $G$ whose centralizers are Abelian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-21T09:48:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C12",
      "05C25",
      "20D60",
      "05A15"
    ],
    "keywords": [
      "finite group",
      "commuting graph",
      "centralizers",
      "vertex set",
      "ordinary energy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}