{
  "id": "1208.3330",
  "version": "v3",
  "published": "2012-08-16T10:09:04.000Z",
  "updated": "2012-09-14T06:05:51.000Z",
  "title": "Bounds on minors of binary matrices",
  "authors": [
    "Richard P. Brent",
    "Judy-anne H. Osborn"
  ],
  "comment": "9 pages, 1 table. Typo corrected in v2. Two references and Theorem 2 added in v3",
  "journal": "Bull. Aust. Math. Soc. 88 (2013), 280-285",
  "doi": "10.1017/S000497271200086X",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove an upper bound on sums of squares of minors of {+1, -1} matrices. The bound is sharp for Hadamard matrices, a result due to de Launey and Levin (2009), but our proof is simpler. We give several corollaries relevant to minors of Hadamard matrices, and generalise a result of Turan on determinants of random {+1,-1} matrices.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-09-14T06:05:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B20",
      "15A15",
      "15B34"
    ],
    "keywords": [
      "binary matrices",
      "hadamard matrices",
      "corollaries relevant",
      "upper bound",
      "generalise"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.3330B"
    }
  }
}