Calculating with quandles

Here you can find supplementary materials, mostly programs in GAP, related to our papers on quandles.

Alexander Hulpke, David Stanovský, Petr Vojtěchovský, Connected quandles and transitive groups, submitted.

• paper
• GAP code written by P.V. used to obtain all connected quandles of order less than 36
• multiplication tables of all connected quandles of order less than 36

Přemysl Jedlička, Agata Pilitowska, David Stanovský, Anna Zamojska-Dzienio, The structure of medial quandles, to appear in J. Algebra.

• paper
• GAP code for enumeration of medial quandles
• GAP package (a very preliminary version) written by P.J., reusing some code from the Loops package, for working with quandles, and for enumeration of medial quandles in particular (install = unpack to gap/pkg)

Andrew Fish, Alexei Lisitsa, David Stanovský, A combinatorial approach to knot recognition, submitted.

• Perl script for knot coloring via MiniSat
• coloring data

Diane Donovan, Terry Griggs, Thomas McCourt, Jakub Opršal, David Stanovský, Distributive and anti-distributive Mendelsohn triple systems, submitted.

• paper
• GAP code for enumeration of affine and distributive Mendelsohn quasigroups