Classification of $k$-tangle projections using cascade representation

Abstract

The paper addresses the $k$-tangle enumeration problem. We introduce a notion of cascade diagram for $k$-tangle projections. An effective enumeration algorithm for projections is proposed based on cascade representation. Tangles projections with up to 12 crossings are tabulated. We provide also pictures of alternating $k$-tangles with 5 crossing or less.

15 pages, 15 figures and 3 tables

References in corpus (1)

• Enumerating the Prime Alternating Links