{
  "id": "1310.0851",
  "version": "v2",
  "published": "2013-10-02T21:55:05.000Z",
  "updated": "2014-04-04T01:49:47.000Z",
  "title": "A generalization of Aztec diamond theorem, part I",
  "authors": [
    "Tri Lai"
  ],
  "comment": "18 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We generalize Aztec diamond theorem (N. Elkies, G. Kuperberg, M. Larsen, and J. Propp, Alternating-sign matrices and domino tilings, Journal Algebraic Combinatoric, 1992) by showing that the numbers of tilings of a certain family of regions in the square lattice with southwest-to-northeast diagonals drawn in are given by powers of 2. We present a proof for the generalization by using a bijection between domino tilings and non-intersecting lattice paths.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-04T01:49:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05E99"
    ],
    "keywords": [
      "generalization",
      "domino tilings",
      "southwest-to-northeast diagonals drawn",
      "generalize aztec diamond theorem",
      "journal algebraic combinatoric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.0851L"
    }
  }
}