{
  "id": "2311.13003",
  "version": "v1",
  "published": "2023-11-21T21:27:50.000Z",
  "updated": "2023-11-21T21:27:50.000Z",
  "title": "Critical exponent of binary words with few distinct palindromes",
  "authors": [
    "L'ubomíra Dvořáková",
    "Pascal Ochem",
    "Daniela Opočenská"
  ],
  "categories": [
    "math.CO",
    "cs.DM"
  ],
  "abstract": "We study infinite binary words that contain few distinct palindromes. In particular, we classify such words according to their critical exponents. This extends results by Fici and Zamboni [TCS 2013]. Interestingly, the words with 18 and 20 palindromes happen to be morphic images of the fixed point of the morphism $\\texttt{0}\\mapsto\\texttt{01}$, $\\texttt{1}\\mapsto\\texttt{21}$, $\\texttt{2}\\mapsto\\texttt{0}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-21T21:27:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "distinct palindromes",
      "critical exponent",
      "study infinite binary words",
      "extends results",
      "palindromes happen"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}