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A Transfer Matrix approach to the Enumeration of Knots

Authors
  • Jacobsen, Jesper-Lykke
  • Zinn-Justin, Paul
Publication Date
Jan 01, 2002
Source
HAL-ENAC
Keywords
Language
English
License
Unknown
External links

Abstract

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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