The Homfly polynomial for even polyhedral links (Q2853190)
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scientific article; zbMATH DE number 6217146
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Homfly polynomial for even polyhedral links |
scientific article; zbMATH DE number 6217146 |
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18 October 2013
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Tutte polynomial
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0.9707508
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0.94620764
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0.9402482
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0.9381436
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0.9363281
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0.9339357
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The Homfly polynomial for even polyhedral links (English)
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Knots and links occur in proteins, and knotted and linked DNA exists in nature. In addition, chemists and molecular biologists have succeeded in synthesizing many knotted and linked molecules.NEWLINENEWLINE In the paper, a general approach is presented to compute the Homfly polynomials of even polyhedral links formed from a polyhedron by `\(n\)-branched curve and \(2k\)-twisted double-line covering'. It is shown that Homfly polynomials of the whole family of even polyhedral links can be obtained from the Tutte polynomial of the 1-skeleton of the polyhedron by special parametrizations. As applications, by using computer algebra (Maple) techniques, Homfly polynomials of even Platonic polyhedral links are calculated.
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