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

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

2003-05-02

arxiv.org/abs/math/0305054v1

Mathematics

Geometric Topology

AMS-Latex v2.2, 4 pages with 2 figures

Scientific paper

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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