A partial ordering of knots and links through diagrammatic unknotting

Détails

Ressource 1Télécharger: BIB_E9F6D0EED72F.P001.pdf (226.68 [Ko])
Etat: Public
Version: Author's accepted manuscript
ID Serval
serval:BIB_E9F6D0EED72F
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
A partial ordering of knots and links through diagrammatic unknotting
Périodique
Journal of Knot Theory and its Ramifications
Auteur⸱e⸱s
Diao Y., Ernst C., Stasiak A.
ISSN
0218-2165
Statut éditorial
Publié
Date de publication
2009
Peer-reviewed
Oui
Volume
18
Numéro
4
Pages
505-522
Langue
anglais
Résumé
In this paper we de. ne a partial ordering of knots and links using a special property derived from their minimal diagrams. A link K' is called a predecessor of a link K if Cr(K') < Cr(K) and a diagram of K' can be obtained from a minimal diagram D of K by a single crossing change. In such a case, we say that K' < K. We investigate the sets of links that can be obtained by single crossing changes over all minimal diagrams of a given link. We show that these sets are specific for different links and permit partial ordering of all links. Some interesting results are presented and many questions are raised.
Mots-clé
Knots, links, crossing number, unknotting number, UNLINKING NUMBER, 2-BRIDGE KNOTS, CLASSIFICATION
Web of science
Open Access
Oui
Création de la notice
09/11/2009 14:08
Dernière modification de la notice
20/08/2019 17:12
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