{
  "id": "2202.01111",
  "version": "v1",
  "published": "2022-02-02T16:19:19.000Z",
  "updated": "2022-02-02T16:19:19.000Z",
  "title": "Hypergraph Fuss-Catalan Numbers",
  "authors": [
    "Parth Chavan",
    "Andrew Lee",
    "Karthik Seetharaman"
  ],
  "comment": "19 pages, 9 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "The Catalan numbers $C_n$ are an extremely well-studied sequence of numbers that appear as the answer to many combinatorial problems. Two generalizations of these numbers that have been studied are the Fuss-Catalan numbers and the Hypergraph Catalan numbers. In this paper, we study the combination of these, the Hypergraph Fuss-Catalan numbers. We provide some combinatorial interpretations of these numbers, as well as describe their generating function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-02T16:19:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10",
      "05A19",
      "11B65",
      "05A05"
    ],
    "keywords": [
      "hypergraph fuss-catalan numbers",
      "hypergraph catalan numbers",
      "combinatorial interpretations",
      "combinatorial problems",
      "generalizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}