An unknotting index for virtual links

An unknotting index for virtual links Full article

Journal

Topology and its Applications
ISSN: 0166-8641

Output data

Year: 2019, Volume: 264, Pages: 352-368 Pages count : 17 DOI: 10.1016/j.topol.2019.06.030

Tags

Pretzel link; Span value; Unknotting index; Virtual link

Authors

Kaur K. ¹ , Prabhakar M. ¹ , Vesnin A. ^2,3

Affiliations

1	Department of Mathematics, Indian Institute of Technology Ropar, India
2	Tomsk State University, Lenin ave. 36, Tomsk, 634050, Russian Federation
3	Sobolev Institute of Mathematics, pr. ak. Koptyuga, 4, Novosibirsk, 630090, Russian Federation

Given a virtual link diagram D, we define its unknotting index U(D) to be minimum among (m,n) tuples, where m stands for the number of crossings virtualized and n stands for the number of classical crossing changes, to obtain a trivial link diagram. By using span of a diagram and linking number of a diagram we provide a lower bound for unknotting index of a virtual link. Then using warping degree of a diagram, we obtain an upper bound. Both these bounds are applied to find unknotting index for virtual links obtained from pretzel links by virtualizing some crossings. © 2019 Elsevier B.V.

Kaur K. , Prabhakar M. , Vesnin A.
An unknotting index for virtual links
Topology and its Applications. 2019. V.264. P.352-368. DOI: 10.1016/j.topol.2019.06.030 WOS Scopus OpenAlex

Web of science:	WOS:000482251200028
Scopus:	2-s2.0-85067873020
OpenAlex:	W2806831671

DB	Citing
Scopus	2
OpenAlex	3
Web of science	2