EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 88(102), pp. 21–52 (2010)

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ADEQUACY OF LINK FAMILIES

Slavik Jablan, Ljiljana Radovic, and Radmila Sazdanovic

Mathematical Institute, Knez Mihailova 36, P.O. Box 367, 11001 Belgrade, Serbia and Faculty of Mechanical Engineering, 18000 Nis, Serbia and George Washington University, 2115 G street NW, Washington, DC 20052, USA

Abstract: We analyze adequacy of knots and links, utilizing Conway notation, Montesinos tangles and Linknot and KhoHo computer calculations. We introduce a numerical invariant called adequacy number, and compute adequacy polynomial which is the invariant of alternating link families. According to computational results, adequacy polynomial distinguishes (up to mutation) all families of alternating knots and links generated by links with at most 12 crossings.

Classification (MSC2000): 57M25, 57M27

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Electronic fulltext finalized on: 19 Nov 2010. This page was last modified: 6 Dec 2010.

© 2010 Mathematical Institute of the Serbian Academy of Science and Arts
© 2010 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition