{
  "id": "1310.5292",
  "version": "v1",
  "published": "2013-10-20T01:57:10.000Z",
  "updated": "2013-10-20T01:57:10.000Z",
  "title": "Bounds on the spectral radius of nonnegative matrices and applications in graph spectra",
  "authors": [
    "Shu-Yu Cui",
    "Gui-Xian Tian"
  ],
  "comment": "10 pages, 1 figures, 15 conference",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we give upper and lower bounds for the spectral radius of a nonnegative irreducible matrix and characterize the equality cases. These bounds theoretically improve and generalize some known results of Duan et al.[X. Duan, B. Zhou, Sharp bounds on the spectral radius of a nonnegative matrix, Linear Algebra Appl. (2013), http://dx.doi.org/10.1016/j.laa.2013.08.026]. Finally, applying these bounds to various matrices associated with a graph, we obtain some new upper and lower bounds on various spectral radiuses of graphs, which generalize and improve some known results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-20T01:57:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "graph spectra",
      "nonnegative matrices",
      "applications",
      "lower bounds",
      "linear algebra appl"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.5292C"
    }
  }
}