{
  "id": "1309.1040",
  "version": "v1",
  "published": "2013-09-04T14:27:55.000Z",
  "updated": "2013-09-04T14:27:55.000Z",
  "title": "A generalization of Alternating Sign Matrices",
  "authors": [
    "Richard A. Brualdi",
    "Hwa Kyung Kim"
  ],
  "comment": "14 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In alternating sign matrices the first and last nonzero entry in each row and column is specified to be +1. Such matrices always exist. We investigate a generalization by specifying independently the sign of the first and last nonzero entry in each row and column to be either a +1 or a -1. We determine necessary and sufficient conditions for such matrices to exist.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-04T14:27:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B20",
      "05C22",
      "05C50",
      "15B35",
      "15B36"
    ],
    "keywords": [
      "alternating sign matrices",
      "generalization",
      "nonzero entry",
      "determine necessary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.1040B"
    }
  }
}