Quandle colorings of knots and applications (Q2922966)
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scientific article; zbMATH DE number 6355738
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quandle colorings of knots and applications |
scientific article; zbMATH DE number 6355738 |
Statements
Quandle colorings of knots and applications (English)
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15 October 2014
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quandle
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quandle coloring
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knot
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The authors investigate the power of distinguishing knots by quandle colorings. They compute the number of quandle colorings by all connected quandles of order at most 35, for all prime oriented knots up to 12 crossings, and discuss their computational results. As a consequence, they present a list of 26 quandles whose coloring can distinguish all knots up to 12 crossings modulo reversal and mirror images. By using their computational results of quandle colorings, they determine the bridge index, the tunnel number, the Nakanishi index and the unknotting numbers of some knots with crossing 11 or 12.
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