{
  "id": "2204.02556",
  "version": "v1",
  "published": "2022-04-06T03:13:20.000Z",
  "updated": "2022-04-06T03:13:20.000Z",
  "title": "An involution on set partitions",
  "authors": [
    "David Callan"
  ],
  "comment": "3 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We present an involution on set partitions that interchanges two statistics related to relative size of block entries and use it to establish an equidistribution on objects counted by the Bessel numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-06T03:13:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15"
    ],
    "keywords": [
      "set partitions",
      "involution",
      "bessel numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}