{
  "id": "math/0206246",
  "version": "v1",
  "published": "2002-06-24T10:29:42.000Z",
  "updated": "2002-06-24T10:29:42.000Z",
  "title": "An analogue of the plactic monoid for binary search trees",
  "authors": [
    "Florent Hivert",
    "Jean-Christophe Novelli",
    "Jean-Yves Thibon"
  ],
  "comment": "4 pages, LaTex, French",
  "categories": [
    "math.CO"
  ],
  "abstract": "We introduce a monoid structure on a certain set of labelled binary trees, by a process similar to the construction of the plactic monoid. This leads to a new interpretation of the algebra of planar binary trees of Loday-Ronco.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-06-24T10:29:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "binary search trees",
      "plactic monoid",
      "planar binary trees",
      "labelled binary trees",
      "monoid structure"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......6246H"
    }
  }
}