Geodesic
A bound for orderings of Reidemeister moves
Gold, Julian1
1UCLA Mathematics Department, Box 951555, Los Angeles, CA 90095-1555, USA
Algebraic and Geometric Topology, Tome 13 (2013) no. 6, pp. 3099-3110
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We provide an upper bound on the number of ordered Reidemeister moves required to pass between two diagrams of the same link. This bound is in terms of the number of unordered Reidemeister moves required.

DOI : 10.2140/agt.2013.13.3099
Classification : 57M25
Keywords: Reidemeister moves

Gold, Julian  1

1 UCLA Mathematics Department, Box 951555, Los Angeles, CA 90095-1555, USA 
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Gold, Julian. A bound for orderings of Reidemeister moves. Algebraic and Geometric Topology, Tome 13 (2013) no. 6, pp. 3099-3110. doi: 10.2140/agt.2013.13.3099

[1] A Coward, Ordering the Reidemeister moves of a classical knot, Algebr. Geom. Topol. 6 (2006) 659

[2] A Coward, M Lackenby, Unknotting genus one knots, Comment. Math. Helv. 86 (2011) 383

[3] J Hass, J C Lagarias, The number of Reidemeister moves needed for unknotting, J. Amer. Math. Soc. 14 (2001) 399

[4] B Trace, On the Reidemeister moves of a classical knot, Proc. Amer. Math. Soc. 89 (1983) 722

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