most citedOrdering the Reidemeister moves of a classical knot

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math.GT2009★ 9 cited

Ordering the Reidemeister moves of a classical knot

Alexander Coward

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.

math.GT2008

Unknotting genus one knots

Alexander Coward, Marc Lackenby

For any knot with genus one and unknotting number one, other than the figure-eight knot, we prove that there is exactly one way to unknot it by means of a crossing change. In the c…