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H(2)-GORDIAN DISTANCE OF KNOTS

TAIZO KANENOBU

Department of Mathematics, Osaka City University, Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan

https://doi.org/10.1142/S0218216511008991Cited by:12 (Source: Crossref)

Abstract

An H(2)-move is an unknotting operation of a knot, which is performed by adding a half-twisted band. We define the H(2)-Gordian distance of two knots to be the minimum number of H(2)-moves needed to transform one into the other. We give several methods to estimate the H(2)-Gordian distance of knots. Then we give a table of H(2)-Gordian distances of knots with up to 7 crossings.

Keywords:

AMSC: 57M25, 57M27

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