{
  "id": "math/0404559",
  "version": "v2",
  "published": "2004-04-30T19:45:09.000Z",
  "updated": "2004-05-10T20:59:07.000Z",
  "title": "Graphs and Hermitian matrices: discrepancy and singular values",
  "authors": [
    "Bela Bollobas",
    "Vladimir Nikiforov"
  ],
  "comment": "22 pages, accepted in Discrete Math. Rev 2 - some typos corrected, thanks Herbert Wilf",
  "categories": [
    "math.CO",
    "math.AC"
  ],
  "abstract": "We introduce a measure of discrepancy of Hermitian matrices and establish an inequality between the second singular value of a Hermitian matrix and its discrepancy. These results are applied to answer two questions of Fan Chung about graph eigenvalues.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-05-10T20:59:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50",
      "15A18"
    ],
    "keywords": [
      "hermitian matrices",
      "discrepancy",
      "second singular value",
      "hermitian matrix",
      "fan chung"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......4559B"
    }
  }
}