{
  "id": "0711.2350",
  "version": "v1",
  "published": "2007-11-15T06:58:57.000Z",
  "updated": "2007-11-15T06:58:57.000Z",
  "title": "Unknot diagrams requiring a quadratic number of Reidemeister moves to untangle",
  "authors": [
    "Joel Hass",
    "Tahl Nowik"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "We present a sequence of diagrams of the unknot for which the minimum number of Reidemeister moves required to pass to the trivial diagram is quadratic with respect to the number of crossings. These bounds apply both in $S^2$ and in $\\R^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-15T06:58:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "reidemeister moves",
      "unknot diagrams requiring",
      "quadratic number",
      "minimum number",
      "trivial diagram"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.2350H"
    }
  }
}