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.
Original language | English |
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Article number | 1750070 |
Journal | Journal of Knot Theory and its Ramifications |
Volume | 26 |
Issue number | 11 |
DOIs | |
Publication status | Published - 2017 Oct 1 |
Externally published | Yes |
Keywords
- Unknotting number
- virtual knot
ASJC Scopus subject areas
- Algebra and Number Theory