English

Classification of $k$-tangle projections using cascade representation

Geometric Topology 2010-07-20 v2

Abstract

The paper addresses the kk-tangle enumeration problem. We introduce a notion of cascade diagram for kk-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 kk-tangles with 5 crossing or less.

Keywords

Cite

@article{arxiv.0712.3859,
  title  = {Classification of $k$-tangle projections using cascade representation},
  author = {Andrey Bogdanov and Vadim Meshkov and Alexander Omelchenko and Michael Petrov},
  journal= {arXiv preprint arXiv:0712.3859},
  year   = {2010}
}

Comments

15 pages, 15 figures and 3 tables

R2 v1 2026-06-21T09:57:07.026Z