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Reidemeister
moves in Gauss diagrams
Sandy Ganzell, Ellen Lehet, Cristina Lopez, Gilbert Magallon and Alyson Thompson
Vol. 14 (2021), No. 3, 431–438
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Abstract |
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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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Keywords
Reidemeister moves, Gauss diagram, virtual knot
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Mathematical Subject Classification
Primary: 57K10, 57K12
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Milestones
Received: 18 July 2020
Revised: 9 December 2020
Accepted: 26 February 2021
Published: 17 July 2021
Communicated by Kenneth S. Berenhaut
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Authors |
| Sandy Ganzell | |
| Department of Mathematics and
Computer Science St. Mary’s College of Maryland St. Mary’s City, MD United States |
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| Ellen Lehet | |
| Philosophy Department University of Notre Dame Notre Dame, IN United States |
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| Cristina Lopez | |
| Pomona College Claremont, CA United States |
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| Gilbert Magallon | |
| San Diego City College San Diego, CA United States |
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| Alyson Thompson | |
| Department of Mathematics and
Computer Science St. Mary’s College of Maryland St. Mary’s City, MD United States |
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