{
  "id": "1905.09268",
  "version": "v1",
  "published": "2019-05-22T17:56:26.000Z",
  "updated": "2019-05-22T17:56:26.000Z",
  "title": "A Shuffling Theorem for Reflectively Symmetric Tilings",
  "authors": [
    "Tri Lai"
  ],
  "comment": "First version. Comments are welcome!",
  "categories": [
    "math.CO"
  ],
  "abstract": "In [arXiv:1905.08311], the author and Rohatgi proved a shuffling theorem for doubly-dented hexagons. In this paper, we consider the same phenomenon for the reflectively symmetric tilings of the doubly-dented hexagons. We also prove several shuffling theorems for halved hexagons. These theorems generalize a number of known results in the enumeration of halved hexagons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-22T17:56:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05B45"
    ],
    "keywords": [
      "reflectively symmetric tilings",
      "shuffling theorem",
      "doubly-dented hexagons",
      "halved hexagons"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}