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2021 Reidemeister moves in Gauss diagrams
Sandy Ganzell, Ellen Lehet, Cristina Lopez, Gilbert Magallon, Alyson Thompson
Involve 14(3): 431-438 (2021). DOI: 10.2140/involve.2021.14.431

Abstract

Recognizing and performing Reidemeister moves in Gauss diagrams is a useful technique for manipulating virtual knots. For R1 and R2 moves, this process is well understood. We review these cases and then provide a new, elementary algorithm for recognizing R3 moves.

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Sandy Ganzell. Ellen Lehet. Cristina Lopez. Gilbert Magallon. Alyson Thompson. "Reidemeister moves in Gauss diagrams." Involve 14 (3) 431 - 438, 2021. https://doi.org/10.2140/involve.2021.14.431

Information

Received: 18 July 2020; Accepted: 26 February 2021; Published: 2021
First available in Project Euclid: 30 July 2021

Digital Object Identifier: 10.2140/involve.2021.14.431

Subjects:
Primary: 57K10, 57K12

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.14 • No. 3 • 2021
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