Work

Classification of $k$-tangle projections using cascade representation

Year: 2007

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0712.3859

Authors: Bogdanov, Andrey, Meshkov, Vadim, Omelchenko, Alexander, Petrov, Michael

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W102477433

Cites: 16

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Related to: 10