Algorithm of construction of all knots, links with given number of crosses on diagram of knot, link, using braids

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.

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