{
  "id": "1506.03916",
  "version": "v1",
  "published": "2015-06-12T07:05:37.000Z",
  "updated": "2015-06-12T07:05:37.000Z",
  "title": "The growth rate of the tunnel number of m-small knots",
  "authors": [
    "Tsuyoshi Kobayashi",
    "Yo'av Rieck"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "In a previous paper the authors defined the growth rate of the tunnel number of knots, an invariant that measures that asymptotic behavior of the tunnel number under connected sum. In this paper we calculate the growth rate of the tunnel number of m-small knots in terms of their bridge indices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-12T07:05:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M99",
      "57M25"
    ],
    "keywords": [
      "tunnel number",
      "growth rate",
      "m-small knots",
      "asymptotic behavior",
      "bridge indices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}