2001/02/15 by Jesper L. Jacobsen, Jacobsen, Jesper L., Paul Zinn-Justin +1
Mathematics · Physics and Astronomy · #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #math-ph #math.CO #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0102015
24 pages. revised 08/01: numerical data updated and fits refined
arxiv created 2002/01/30 · arxiv updated 2009/11/30
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.