A Transfer Matrix approach to the Enumeration of Knots
arXiv:math-ph/0102015
Abstract
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.
24 pages. revised 08/01: numerical data updated and fits refined