Articles with "virtual knot" as a keyword



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Virtual unknotting numbers of certain virtual torus knots

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Published in 2017 at "Journal of Knot Theory and Its Ramifications"

DOI: 10.1142/s0218216517500705

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… read more here.

Keywords: unknotting number; virtual knot; torus; virtual unknotting ... See more keywords
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The special rank of virtual knot groups

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Published in 2020 at "Journal of Knot Theory and Its Ramifications"

DOI: 10.1142/s0218216520500881

Abstract: In this paper we introduce the special rank for virtual knots and some properties of this number are studied. Although we do not know if it can be considered as a nontrivial extension of the… read more here.

Keywords: special rank; knot groups; virtual knot; rank virtual ... See more keywords