2007/12/22 by Andrey Bogdanov, Bogdanov, Andrey, Vadim Meshkov +6
Computer Science · Mathematics · #57M25 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Topological and Geometric Data Analysis #math.GT #msc:57M25
paper · pdf · doi:10.48550/arxiv.0712.3859
15 pages, 15 figures and 3 tables
openalex publication_date 2007/12/22 · arxiv created 2010/07/18 · arxiv updated 2010/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.