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

S. S. Serova·S. A. Serov
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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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S. S. Serova, S. A. Serov. 2003-05-02. Algorithm of construction of all knots, links with given number of crosses on diagram of knot, link, using braids. https://arxiv.org/abs/math/0305054

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