Virtual unknotting numbers of certain virtual torus knots

Masaharu Ishikawa; Hirokazu Yanagi

doi:10.1142/S0218216517500705

Virtual unknotting numbers of certain virtual torus knots

Masaharu Ishikawa, Hirokazu Yanagi

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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
Article number	1750070
Journal	Journal of Knot Theory and its Ramifications
Volume	26
Issue number	11
DOIs	https://doi.org/10.1142/S0218216517500705
Publication status	Published - 2017 Oct 1
Externally published	Yes

Keywords

Unknotting number
virtual knot

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1142/S0218216517500705

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