A Transfer Matrix approach to the Enumeration of Knots

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dc.creatorJacobsen, Jesper L.
dc.creatorZinn-Justin, Paul
dc.date2001-02-15
dc.date2002-01-30
dc.date.accessioned2026-07-07T04:28:18Z
dc.date.available2026-07-07T04:28:18Z
dc.descriptionWe 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.
dc.description24 pages. revised 08/01: numerical data updated and fits refined
dc.identifierhttps://arxiv.org/abs/math-ph/0102015
dc.identifierhttp://arxiv.org/abs/math-ph/0102015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56734
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectCombinatorics
dc.titleA Transfer Matrix approach to the Enumeration of Knots
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