EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 94(108), pp. 181–186 (2013)

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MIRROR-CURVE CODES FOR KNOTS AND LINKS

Ljiljana Radovic and Slavik Jablan

Department of Mathematics, Faculty of Mechanical Engineering, Nis, Serbia; and Mathematical Institute, Knez Mihailova 36, B.O. Box 367, Belgrade, Serbia

Abstract: Inspired by Lomonaco–Kauffman paper on quantum knots and knot mosaics we construct the more concise representation of knot mosaics and grid diagrams via mirror-curves. We introduce codes for mirror-curves treated as knot or link diagrams placed in rectangular square grid, suitable for software implementations and discuss possible applications of mirror-curves.

Classification (MSC2000): 57M25; 57M27

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Electronic fulltext finalized on: 8 Nov 2013. This page was last modified: 22 Nov 2013.

© 2013 Mathematical Institute of the Serbian Academy of Science and Arts
© 2013 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition