{
  "id": "1404.6509",
  "version": "v2",
  "published": "2014-04-25T19:30:11.000Z",
  "updated": "2014-11-02T15:16:01.000Z",
  "title": "Flip invariance for domino tilings of three-dimensional regions with two floors",
  "authors": [
    "Pedro H. Milet",
    "Nicolau C. Saldanha"
  ],
  "comment": "33 pages, 34 figures, 2 tables. We updated the reference list",
  "categories": [
    "math.CO"
  ],
  "abstract": "We investigate tilings of cubiculated regions with two simply connected floors by 2 x 1 x 1 bricks. More precisely, we study the flip connected component for such tilings, and provide an algebraic invariant that \"almost\" characterizes the flip connected components of such regions, in a sense that we discuss in the paper. We also introduce a new local move, the trit, which, together with the flip, connects the space of domino tilings when the two floors are identical.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-25T19:30:11.000Z",
      "comment": "33 pages, 34 figures, 2 tables",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-02T15:16:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B45",
      "52C20",
      "52C22",
      "05C70"
    ],
    "keywords": [
      "domino tilings",
      "three-dimensional regions",
      "flip invariance",
      "flip connected component",
      "local move"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.6509M"
    }
  }
}