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math.GT2020★ 1 cited
Reidemeister Moves in Gauss Diagrams
Sandy Ganzell, Ellen Lehet, Cristina Lopez +2
We provide a simple algorithm for recognizing and performing Reidemeister moves in a Gauss diagram.
math.GT2020
Virtual Mosaic Knot Theory
Sandy Ganzell, Allison Henrich
Mosaic diagrams for knots were first introduced in 2008 by Lomanoco and Kauffman for the purpose of building a quantum knot system. Since then, many others have explored the struct…
math.GT2013
The forbidden number of a knot
Alissa Crans, Sandy Ganzell, Blake Mellor
Every classical or virtual knot is equivalent to the unknot via a sequence of extended Reidemeister moves and the so-called forbidden moves. The minimum number of forbidden moves n…