Knot operation

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In knot theory, a knot move or operation is a change or changes which preserve crossing number.[1] Operations are used to investigate whether knots are equivalent, prime or reduced.

Knot moves or operations include the flype, Habiro move, Markov moves (I. conjugation and II. stabilization), pass move, Perko move, and Reidemeister moves (I. twist move, II. poke move, and III. slide move).[1]

See also

References

  1. 1 2 Weisstein, Eric W. “Knot Move”. MathWorld.


This article is adapted from “Knot operation” on Wikipedia, written by its contributors, and used under CC BY-SA 4.0. Text on this page is available under the same licence. Source snapshot: Wikipedia via Kiwix, 2026-07-20.