Classification of $k$-tangle projections using cascade representation
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 pict...
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| creator | Bogdanov, Andrey Meshkov, Vadim Omelchenko, Alexander Petrov, Michael |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.0712.3859 |
| format | Article |
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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
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algorithm for projections is proposed based on cascade representation. Tangles
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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.</abstract><doi>10.48550/arxiv.0712.3859</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Geometric Topology |
| title | Classification of $k$-tangle projections using cascade representation |
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