{
  "id": "1102.5409",
  "version": "v1",
  "published": "2011-02-26T13:26:33.000Z",
  "updated": "2011-02-26T13:26:33.000Z",
  "title": "The Wiener Index of Unicyclic Graphs with Girth and the Matching Number",
  "authors": [
    "Ya-Hong Chen",
    "Xiao-Dong Zhang"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we investigate how the Wiener index of unicyclic graphs varies with graph operations. These results are used to present a sharp lower bound for the Wiener index of unicyclic graphs of order $n$ with girth and the matching number $\\beta\\ge \\frac{3g}{2}$. Moreover, we characterize all extremal graphs which attain the lower bound.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-26T13:26:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C12",
      "05C70"
    ],
    "keywords": [
      "wiener index",
      "matching number",
      "unicyclic graphs varies",
      "sharp lower bound",
      "extremal graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.5409C"
    }
  }
}