A Transfer Matrix approach to the Enumeration of Knots

A Transfer Matrix approach to the Enumeration of Knots

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 auth...

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Veröffentlicht in:arXiv.org 2002-01
Hauptverfasser: Jacobsen, Jesper L, Zinn-Justin, Paul
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422