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

摘要

Algorithm of construction of all knots, links with given number of crosses ondiagram of knot, link is offered. This algorithm is based on simpleproposition, that there is a representation of knot (link) as closure of braidwith n threads and length of this braid does not exceed n(4n-5)+2.