{
  "id": "2401.09723",
  "version": "v1",
  "published": "2024-01-18T04:56:45.000Z",
  "updated": "2024-01-18T04:56:45.000Z",
  "title": "Linear extensions and continued fractions",
  "authors": [
    "Swee Hong Chan",
    "Igor Pak"
  ],
  "comment": "14 pages",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "We introduce several new constructions of finite posets with the number of linear extensions given by generalized continued fractions. We apply our results to the problem of the minimum number of elements needed for a poset with a given number of linear extensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-18T04:56:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06A07",
      "11A55"
    ],
    "keywords": [
      "linear extensions",
      "finite posets",
      "minimum number",
      "constructions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}