{
  "id": "1407.2688",
  "version": "v1",
  "published": "2014-07-10T04:34:14.000Z",
  "updated": "2014-07-10T04:34:14.000Z",
  "title": "Region unknotting number of $2$-bridge knots",
  "authors": [
    "Vikash Siwach",
    "Prabhakar Madeti"
  ],
  "comment": "16 pages, 9 figures, Any comments and suggestions are welcomed",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, we discuss the region unknotting number of different classes of 2-bridge knots. In particular, we provide region unknotting number for the classes of $2$-bridge knots whose Conway notation is $C(m,\\ n), C(m,\\ 2,\\ m),$ $ C(m,\\ 2,\\ m\\pm1)$ and $C(2,\\ m,\\ 2,\\ n)$. By generalizing, we also provide a sharp upper bound for all the remaining classes of $2$-bridge knots.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-10T04:34:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "region unknotting number",
      "bridge knots",
      "sharp upper bound",
      "conway notation",
      "remaining classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.2688S"
    }
  }
}