A Transfer Matrix approach to the Enumeration of Knots

Details A Transfer Matrix approach to the Enumeration of Knots A Transfer Matrix approach to the Enumeration of Knots

2001-02-15

arxiv.org/abs/math-ph/0102015v4

Physics

Mathematical Physics

24 pages. revised 08/01: numerical data updated and fits refined

Scientific paper

We propose a new method to enumerate alternating knots using a transfer
matrix approach. We apply it to count numerically various objects, including
prime alternating tangles with two connected components, up to order 18--22,
and comment on the large-order behavior in connection with one of the authors'
conjecture.

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