{
  "id": "1310.1156",
  "version": "v3",
  "published": "2013-10-04T03:24:46.000Z",
  "updated": "2014-09-02T21:48:39.000Z",
  "title": "A generalization of Aztec diamond theorem, part II",
  "authors": [
    "Tri Lai"
  ],
  "comment": "21 pages; rewrite the introduction, shorten some proofs, and fix typos/mistakes",
  "categories": [
    "math.CO"
  ],
  "abstract": "The author presented two different proofs for a generalization of the Aztec diamond theorem using a bijection between tilings and non-intersecting paths (\\textit{A generalization of Aztec diamond theorem, part I}, Electronic Journal of Combinatorics) and subgraph replacement rules (\\textit{Enumeration of hybrid domino-lozenge tilings}, Journal of Combinatorial Theory, Series A). In this paper we use Kuo's graphical condensation and a certain reduction theorem to give two new proofs for the generalization.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-04T01:12:39.000Z",
      "abstract": "Continuing the work in the prequel paper, we present two different proofs for a generalization of Aztec diamond theorem by using graphical condensation and a certain reduction theorem respectively.",
      "comment": "23 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-09-02T21:48:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05E99",
      "05B45",
      "05C30"
    ],
    "keywords": [
      "aztec diamond theorem",
      "generalization",
      "prequel paper",
      "graphical condensation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.1156L"
    }
  }
}