{
  "id": "math/0409211",
  "version": "v1",
  "published": "2004-09-13T17:49:20.000Z",
  "updated": "2004-09-13T17:49:20.000Z",
  "title": "Computing the Tutte polynomial of a hyperplane arrangement",
  "authors": [
    "Federico Ardila"
  ],
  "comment": "27 pages, 2 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We define and study the Tutte polynomial of a hyperplane arrangement. We introduce a method for computing it by solving an enumerative problem in a finite field. For specific arrangements, the computation of Tutte polynomials is then reduced to certain related enumerative questions. As a consequence, we obtain new formulas for the generating functions enumerating alternating trees, labelled trees, semiorders and Dyck paths.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-13T17:49:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "52C35",
      "05B35"
    ],
    "keywords": [
      "tutte polynomial",
      "hyperplane arrangement",
      "specific arrangements",
      "dyck paths",
      "finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9211A"
    }
  }
}