42 citations · 142 across the 25 of their papers we have counts for
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math-ph2001
The Combinatorics of Alternating Tangles: from theory to computerized enumeration
J. L. Jacobsen, P. Zinn-Justin
We study the enumeration of alternating links and tangles, considered up to topological (flype) equivalences. A weight is given to each connected component, and in particular t…
math-ph2001
A transfer matrix approach to the enumeration of colored links
Jesper Jacobsen, Paul Zinn-Justin
We propose a transfer matrix algorithm for the enumeration of alternating link diagrams with external legs, giving a weight to each connected component. Considering more genera…
math-ph2001
A Transfer Matrix approach to the Enumeration of Knots
Jesper L. Jacobsen, Paul Zinn-Justin
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…