{
  "id": "1512.08341",
  "version": "v1",
  "published": "2015-12-28T08:39:06.000Z",
  "updated": "2015-12-28T08:39:06.000Z",
  "title": "Counting components of an integral lamination",
  "authors": [
    "S. Oyku Yurttas",
    "Toby Hall"
  ],
  "comment": "17 pages, 2 Figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We present an efficient algorithm for calculating the number of components of an integral lamination on an $n$-punctured disk, given its Dynnikov coordinates. The algorithm requires $O(n^2M)$ arithmetic operations, where~$M$ is the sum of the absolute values of the Dynnikov coordinates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-28T08:39:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57N05",
      "20F36"
    ],
    "keywords": [
      "integral lamination",
      "counting components",
      "dynnikov coordinates",
      "efficient algorithm",
      "arithmetic operations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151208341O"
    }
  }
}