2002/08/01 by J. L. JACOBSEN, Jesper Lykke Jacobsen, P. ZINN-JUSTIN +1
Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Algebraic structures and combinatorial models
paper · doi:10.1142/s0218216502001937
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's conjecture.