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 (Hoste
et al. 1998). While these moves eliminate all duplicate knots up to 13 crossings
with only a single exception, there are 
duplicates in his list of 
16-crossing knots (Hoste et al. 1998).
Knot Move
See also
Flype, Habiro Move, Markov Moves, Pass Move, Perko Move, Poke Move, Reidemeister Moves, Slide Move, Twist MoveExplore with Wolfram|Alpha
References
Hoste, J.; Thistlethwaite, M.; and Weeks, J. "The First
Knots." Math. Intell. 20,
33-48, Fall 1998.Referenced on Wolfram|Alpha
Knot MoveCite this as:
Weisstein, Eric W. "Knot Move." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/KnotMove.html