Classification of $k$-tangle projections using cascade representation

Details Classification of $k$-tangle projections using cascade representation Classification of $k$-tangle projections using cascade representation

2007-12-22

arxiv.org/abs/0712.3859v2

Mathematics

Geometric Topology

15 pages, 15 figures and 3 tables

Scientific paper

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.

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