{
  "id": "0910.4212",
  "version": "v1",
  "published": "2009-10-22T01:17:01.000Z",
  "updated": "2009-10-22T01:17:01.000Z",
  "title": "On Singletons and Adjacencies of Set Partitions of Type B",
  "authors": [
    "William Y. C. Chen",
    "David G. L. Wang"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We show that the joint distribution of the number of singleton pairs and the number of adjacency pairs is symmetric over the set partitions of type $B_n$ without zero-block, in analogy with the result of Callan for ordinary partitions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-10-22T01:17:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "set partitions",
      "ordinary partitions",
      "adjacency pairs",
      "singleton pairs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.4212C"
    }
  }
}