{
  "id": "2007.02142",
  "version": "v1",
  "published": "2020-07-04T16:54:49.000Z",
  "updated": "2020-07-04T16:54:49.000Z",
  "title": "A bijection between two subfamilies of Motzkin paths",
  "authors": [
    "Nancy S. S. Gu",
    "Helmut Prodinger"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Two subfamilies of Motzkin paths, with the same numbers of up, down, horizontal steps were known to be equinumerous with ternary trees and related objects. We construct a bijection between these two families that does not use any auxiliary objects, like ternary trees.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-04T16:54:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19",
      "05C05"
    ],
    "keywords": [
      "motzkin paths",
      "subfamilies",
      "ternary trees",
      "horizontal steps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}