A Transfer Matrix approach to the Enumeration of Knots

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

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Mathematical Physics, Statistical Mechanics, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/56734

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0102015
 http://arxiv.org/abs/math-ph/0102015

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arXiv