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The virtual unknotting number of a virtual knot is the minimal number of crossing changes that makes the virtual knot to be the unknot, which is defined only for virtual… Click to show full abstract
The virtual unknotting number of a virtual knot is the minimal number of crossing changes that makes the virtual knot to be the unknot, which is defined only for virtual knots virtually homotopic to the unknot. We focus on the virtual knot obtained from the standard (p,q)-torus knot diagram by replacing all crossings on one overstrand into virtual crossings and prove that its virtual unknotting number is equal to the unknotting number of the (p,q)-torus knot, that is, (p − 1)(q − 1)/2.
Keywords:
unknotting number;
virtual knot;
torus;
virtual unknotting
Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2017
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Journal Title: Journal of Knot Theory and Its Ramifications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!