{
  "id": "2004.03286",
  "version": "v1",
  "published": "2020-04-07T11:44:57.000Z",
  "updated": "2020-04-07T11:44:57.000Z",
  "title": "Star factorizations and noncrossing partitions",
  "authors": [
    "Bridget Eileen Tenner"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We develop the relationship between minimal transitive star factorizations and noncrossing partitions. This gives a new combinatorial proof of a result by Irving and Rattan, and a specialization of a result of Kreweras. It also arises in a poset on the symmetric group whose definition is motivated by the Subword Property of the Bruhat order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-07T11:44:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "05A18",
      "05A19"
    ],
    "keywords": [
      "noncrossing partitions",
      "minimal transitive star factorizations",
      "subword property",
      "symmetric group",
      "bruhat order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}