{
  "id": "2204.02161",
  "version": "v1",
  "published": "2022-04-05T12:40:51.000Z",
  "updated": "2022-04-05T12:40:51.000Z",
  "title": "Upper bound on delta-crossing and tabulation of knots up to four delta-crossings",
  "authors": [
    "Michal Jablonowski"
  ],
  "comment": "9 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We strengthened the known upper bound on the delta-crossing number of knots in therms of the triple-crossing number with additional assumptions. We also prove that we can always find at least one tangle from the set of four tangles, in any triple-crossing projections of any non-trivial knot or non-split link. In the last section, we enumerate and generate tables of minimal delta-diagrams for all prime knots up to the delta-crossing number equal to four.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-05T12:40:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "upper bound",
      "tabulation",
      "delta-crossing number equal",
      "prime knots",
      "additional assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}