{
  "id": "2008.06483",
  "version": "v1",
  "published": "2020-08-14T17:38:59.000Z",
  "updated": "2020-08-14T17:38:59.000Z",
  "title": "Superbridge and Bridge Indices for Knots",
  "authors": [
    "Colin Adams",
    "Nikhil Agarwal",
    "Rachel Allen",
    "Tirasan Khandhawit",
    "Alex Simons",
    "Rebecca Winarski",
    "Mary Wootters"
  ],
  "comment": "12pages, 4 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We improve the upper bound on the superbridge index $sb[K]$ of a knot type $[K]$ in terms of the bridge index $b[K]$ from $sb[K] \\leq 5b -3$ to $sb[K]\\leq 3b[k] - 1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-14T17:38:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10"
    ],
    "keywords": [
      "upper bound",
      "superbridge index",
      "knot type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}