{
  "id": "0809.1179",
  "version": "v3",
  "published": "2008-09-07T11:58:02.000Z",
  "updated": "2009-04-05T06:33:10.000Z",
  "title": "The group of symmetries of the Tower of Hanoi graph",
  "authors": [
    "So Eun Park"
  ],
  "comment": "8 pages, 6 figures; Minor revisions following referees comments. To appear in the American Mathematical Monthly",
  "categories": [
    "math.CO"
  ],
  "abstract": "I prove that the group of symmetries of the Tower of Hanoi graph with k pegs and n disks, denoted H_n^k, is isomorphic to the group of permutations of k elements, S_k, for all k greater than or equal to 3 and positive n.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-04-05T06:33:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hanoi graph",
      "symmetries",
      "isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.1179E"
    }
  }
}