An estimate of the unknotting numbers for virtual knots by forbidden moves

Migiwa Sakurai

doi:10.1142/S0218216513500090

An estimate of the unknotting numbers for virtual knots by forbidden moves

Migiwa Sakurai

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

6 Citations (Scopus)

Abstract

It is known that any virtual knot can be deformed into the trivial knot by a finite sequence of forbidden moves. In this paper, we give the difference of the values obtained from some invariants constructed by Henrich between two virtual knots which can be transformed into each other by a single forbidden move. As a result, we obtain a lower bound of the unknotting number of a virtual knot by forbidden moves.

Original language	English
Article number	13500090
Journal	Journal of Knot Theory and its Ramifications
Volume	22
Issue number	3
DOIs	https://doi.org/10.1142/S0218216513500090
Publication status	Published - 2013 Mar 1
Externally published	Yes

Keywords

Virtual knot
forbidden move
unknotting number

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216513500090

Cite this

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KW - unknotting number

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An estimate of the unknotting numbers for virtual knots by forbidden moves

Abstract

Keywords

ASJC Scopus subject areas

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