A transfer matrix approach to the enumeration of knots
JL Jacobsen, P Zinn-Justin
Journal of Knot Theory and Its Ramifications | Published : 2002
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.