{
  "id": "1503.07946",
  "version": "v1",
  "published": "2015-03-27T02:43:51.000Z",
  "updated": "2015-03-27T02:43:51.000Z",
  "title": "The Second Zagreb Indices of Graphs with Given Degree Sequences",
  "authors": [
    "Wei-Gang Yuan",
    "Xiao-Dong Zhang"
  ],
  "comment": "18 pages 2 figures in Discrete Applied Mathematics, 2015",
  "categories": [
    "math.CO"
  ],
  "abstract": "The second Zagreb index of a graph G is denoted by $M_2(G)=\\sum_{uv\\in E(G)}d(u)d(v)$. In this paper, we investigate properties of the extremal graphs with the maximum second Zagreb indices with given graphic sequences, in particular graphic bicyclic sequences. Moreover, we obtain the relations of the second Zagreb indices among the extremal graphs with different degree sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-27T02:43:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C12",
      "05C07"
    ],
    "keywords": [
      "second zagreb index",
      "degree sequences",
      "extremal graphs",
      "maximum second zagreb indices",
      "graphic bicyclic sequences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}