{
  "id": "math/0510496",
  "version": "v2",
  "published": "2005-10-24T03:41:13.000Z",
  "updated": "2007-04-13T03:03:57.000Z",
  "title": "Boundary slope diameter and crossing number of 2-bridge knots",
  "authors": [
    "Thomas W. Mattman",
    "Gabriel Maybrun",
    "Kristin Robinson"
  ],
  "comment": "21 pages, 7 figures. v2 - No changes - we only wish to note that this is an early version of a paper to appear in The Osaka Journal of Mathematics",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove that for 2-bridge knots, the diameter, D, of the set of boundary slopes is twice the crossing number, c. This constitutes partial verification of a conjecture that, for all knots in S^3, D is at most 2c.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-04-13T03:03:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "boundary slope diameter",
      "crossing number",
      "constitutes partial verification",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10496M"
    }
  }
}