{
  "id": "1710.02782",
  "version": "v1",
  "published": "2017-10-08T05:09:44.000Z",
  "updated": "2017-10-08T05:09:44.000Z",
  "title": "More properties of the Fibonacci word on an infinite alphabet",
  "authors": [
    "Amy Glen",
    "Jamie Simpson",
    "W. F. Smyth"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CO",
    "cs.DM"
  ],
  "abstract": "Recently the Fibonacci word $W$ on an infinite alphabet was introduced by [Zhang et al., Electronic J. Combinatorics 24-2 (2017) #P2.52] as a fixed point of the morphism $\\phi: (2i) \\mapsto (2i)(2i+ 1),\\ (2i+ 1) \\mapsto (2i+ 2)$ over all $i \\in \\mathbb{N}$. In this paper we investigate the occurrence of squares, palindromes, and Lyndon factors in this infinite word.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-08T05:09:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "68R15"
    ],
    "keywords": [
      "fibonacci word",
      "infinite alphabet",
      "properties",
      "lyndon factors",
      "infinite word"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}