{ "id": "math/0305054", "version": "v1", "published": "2003-05-02T20:43:50.000Z", "updated": "2003-05-02T20:43:50.000Z", "title": "Algorithm of construction of all knots, links with given number of crosses on diagram of knot, link, using braids", "authors": [ "S. S. Serova", "S. A. Serov" ], "comment": "AMS-Latex v2.2, 4 pages with 2 figures", "categories": [ "math.GT", "math.AT" ], "abstract": "Algorithm of construction of all knots, links with given number of crosses on diagram of knot, link is offered. This algorithm is based on simple proposition, that there is a representation of knot (link) as closure of braid with n threads and length of this braid does not exceed n(4n-5)+2.", "revisions": [ { "version": "v1", "updated": "2003-05-02T20:43:50.000Z" } ], "analyses": { "subjects": [ "55-04", "51P05", "70G99" ], "keywords": [ "construction", "simple proposition", "representation" ], "note": { "typesetting": "LaTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......5054S" } } }