Topology Atlas | Conferences

Knots in Washington XLVI: 70th Birthday of Oleg Viro;
May 4-6, 2018
George Washington University,
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU)

Conference Homepage


Enumerating quandles and racks up to isomorphism
by
Petr Vojtěchovský
University of Dennver
Coauthors: Seung Yeop Yang

Quandles and racks play an important role in the theory of knot invariants. Presently, quandles have been classified up to order 9 and racks up to order 8. We improve both bounds to 13, using a representation due to Blackburn. We will also describe key features of the algorithm.

Date received: April 6, 2018

Copyright © 2018 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cboy-17.