A Graph-Theoretic Approach to a Partial Order of Knots and Links

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We say that a link $L_1$ is an s-major of a link $L_2$ if any diagram of $L_1$ can be transformed into a diagram of $L_2$ by changing some crossings and smoothing some crossings. This relation is a partial ordering on the set of all prime alternating links. We determine this partial order for all prime alternating knots and links with the crossing number less than or equal to six. The proofs are given by graph-theoretic methods.
15 pages, 27 figures

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Geometric Topology, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/163417

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.3595
 http://arxiv.org/abs/0806.3595

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arXiv