{
  "id": "1309.5604",
  "version": "v1",
  "published": "2013-09-22T14:40:59.000Z",
  "updated": "2013-09-22T14:40:59.000Z",
  "title": "Bounds for the spectral radius of nonnegative matrices",
  "authors": [
    "Rundan Xing",
    "Bo Zhou"
  ],
  "journal": "R. Xing, B. Zhou, Sharp bounds for the spectral radius of nonnegative matrices, Linear Algebra Appl. 449 (2014) 194-209",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give upper and lower bounds for the spectral radius of a nonnegative matrix by using its average 2-row sums, and characterize the equality cases if the matrix is irreducible. We also apply these bounds to various nonnegative matrices associated with a graph, including the adjacency matrix, the signless Laplacian matrix, the distance matrix, the distance signless Laplacian matrix, and the reciprocal distance matrix.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-22T14:40:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A18",
      "05C50"
    ],
    "keywords": [
      "spectral radius",
      "nonnegative matrices",
      "reciprocal distance matrix",
      "distance signless laplacian matrix",
      "equality cases"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.5604X"
    }
  }
}