Geodesic
Ordering the Reidemeister moves of a classical knot
Coward, Alexander1
1Mathematical Institute, 24-29 St Giles’, Oxford, OX1 3LB, UK
Algebraic and Geometric Topology, Tome 6 (2006) no. 2, pp. 659-671
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We show that any two diagrams of the same knot or link are connected by a sequence of Reidemeister moves which are sorted by type.

DOI : 10.2140/agt.2006.6.659
Keywords: knot diagram, Reidemeister move

Coward, Alexander  1

1 Mathematical Institute, 24-29 St Giles’, Oxford, OX1 3LB, UK 
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Coward, Alexander. Ordering the Reidemeister moves of a classical knot. Algebraic and Geometric Topology, Tome 6 (2006) no. 2, pp. 659-671. doi: 10.2140/agt.2006.6.659

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

[2] K Reidemeister, Knotten und Gruppen, Abh. Math. Sem. Univ. Hamburg 5 (1927) 7

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

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