{
  "id": "1704.01787",
  "version": "v1",
  "published": "2017-04-06T11:32:10.000Z",
  "updated": "2017-04-06T11:32:10.000Z",
  "title": "Mutation invariance of the arc index for some Montesinos knots",
  "authors": [
    "Gyo Taek Jin",
    "Ho Lee"
  ],
  "comment": "19 pages, 24 figures, 1 table",
  "categories": [
    "math.GT"
  ],
  "abstract": "For the alternating knots or links, mutations do not change the arc index. In the case of nonalternating knots, some semi-alternating knots or links have this property. We mainly focus on the problem of mutation invariance of the arc index for nonalternating knots which are not semi-alternating. In this paper, we found families of infinitely many mutant pairs/triples of Montesinos knots with the same arc index.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-06T11:32:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "arc index",
      "montesinos knots",
      "mutation invariance",
      "nonalternating knots",
      "mutant pairs/triples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}