{
  "id": "1609.04626",
  "version": "v1",
  "published": "2016-09-15T13:22:55.000Z",
  "updated": "2016-09-15T13:22:55.000Z",
  "title": "The 26 Wilf-equivalence classes of length five quasi-consecutive patterns",
  "authors": [
    "Evan Chen",
    "Shyam Narayanan"
  ],
  "comment": "19 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We present two families of Wilf-equivalences for consecutive and quasi-consecutive vincular patterns. These give new proofs of the classification of consecutive patterns of length $4$ and $5$. We then prove additional equivalences to explicitly classify all quasi-consecutive patterns of length $5$ into 26 Wilf-equivalence classes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-15T13:22:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "05A19",
      "G.2.1"
    ],
    "keywords": [
      "wilf-equivalence classes",
      "quasi-consecutive patterns",
      "additional equivalences",
      "quasi-consecutive vincular patterns"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}