{
  "id": "0906.0827",
  "version": "v1",
  "published": "2009-06-04T04:10:25.000Z",
  "updated": "2009-06-04T04:10:25.000Z",
  "title": "Note for Nikiforov's two conjectures on the energy of trees",
  "authors": [
    "Xueliang Li",
    "Jianxi Liu"
  ],
  "comment": "5 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "The energy $E$ of a graph is defined to be the sum of the absolute values of its eigenvalues. Nikiforov in {\\it ``V. Nikiforov, The energy of $C_4$-free graphs of bounded degree, Lin. Algebra Appl. 428(2008), 2569--2573\"} proposed two conjectures concerning the energy of trees with maximum degree $\\Delta\\leq 3$. In this short note, we show that both conjectures are true.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-04T04:10:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50",
      "05C90",
      "15A18",
      "92E10"
    ],
    "keywords": [
      "conjectures",
      "short note",
      "maximum degree",
      "absolute values",
      "algebra appl"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.0827L"
    }
  }
}