{
  "id": "0710.3765",
  "version": "v2",
  "published": "2007-10-19T19:45:03.000Z",
  "updated": "2009-08-22T21:27:14.000Z",
  "title": "Determinants of rational knots",
  "authors": [
    "Louis H. Kauffman",
    "Pedro Lopes"
  ],
  "comment": "This is the revised version of the article formerly entitled Graded forests and rational knots. This version has been accepted for publication in DMTCS",
  "categories": [
    "math.GT",
    "math.CO"
  ],
  "abstract": "We study the Fox coloring invariants of rational knots. We express the propagation of the colors down the twists of these knots and ultimately the determinant of them with the help of finite increasing sequences whose terms of even order are even and whose terms of odd order are odd.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-08-22T21:27:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "rational knots",
      "determinant",
      "fox coloring invariants",
      "finite increasing sequences",
      "odd order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.3765K"
    }
  }
}