diagrammatic move

An operation on a knot or link diagram which preserves its crossing number. Thistlethwaite used 13 different moves in generating a list of 16-crossing alternating knots . While these moves eliminate all duplicate knots up to 13 crossings with only a single exception, there are 9868 duplicates in his list of 1018774 16-crossing knots .

flype | Habiro move | Markov moves | pass move | Perko move | poke move | Reidemeister moves | slide move | twist move