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

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dc.creatorEndo, Toshiki
dc.creatorItoh, Tomoko
dc.creatorTaniyama, Kouki
dc.date2008-06-22
dc.date.accessioned2026-07-07T09:46:06Z
dc.date.available2026-07-07T09:46:06Z
dc.descriptionWe 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.
dc.description15 pages, 27 figures
dc.identifierhttps://arxiv.org/abs/0806.3595
dc.identifierhttp://arxiv.org/abs/0806.3595
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163417
dc.subjectGeometric Topology
dc.subject57M25
dc.titleA Graph-Theoretic Approach to a Partial Order of Knots and Links
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