INSTITUTIONAL DIGITAL REPOSITORY

An unknotting index for virtual links

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dc.contributor.author Kaur, K.
dc.contributor.author Prabhakar, M.
dc.contributor.author Vesnin, A.
dc.date.accessioned 2019-08-22T14:47:28Z
dc.date.available 2019-08-22T14:47:28Z
dc.date.issued 2019-08-22
dc.identifier.uri http://localhost:8080/xmlui/handle/123456789/1308
dc.description.abstract Given a virtual link diagram D, we define its unknotting index U(D)to be minimum among (m, n)tuples, where mstands for the number of crossings virtualized and nstands 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. en_US
dc.language.iso en_US en_US
dc.subject Virtual link en_US
dc.subject Unknotting index en_US
dc.subject Pretzel link en_US
dc.subject Span value en_US
dc.title An unknotting index for virtual links en_US
dc.type Article en_US


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