3 citations · 3 across the 4 of their papers we have counts for
8 papers · 1 filter
Recurrent Generalization of F-Polynomials for Virtual Knots and Links
Amrendra Gill, Maxim Ivanov, Madeti Prabhakar +1
F-polynomials for virtual knots were defined by Kaur, Prabhakar and Vesnin in 2018 using flat virtual knot invariants. These polynomials naturally generalize Kauffman's affine inde…
An unknotting invariant for welded knots
K. Kaur, A. Gill, M. Prabhakar +1
We study a local twist move on welded knots that is an analog of the virtualization move on virtual knots. Since this move is an unknotting operation we define an invariant, unknot…
Gordian complexes of knots and virtual knots given by region crossing changes and arc shift moves
Amrendra Gill, Madeti Prabhakar, Andrei Vesnin
Gordian complex of knots was defined by Hirasawa and Uchida as the simplicial complex whose vertices are knot isotopy classes in . Later Horiuchi and Ohyama defined G…
Arc shift number and region arc shift number for virtual knots
K. Kaur, A. Gill, M. Prabhakar
In this paper, we formulate a new local move on virtual knot diagram, called arc shift move. Further, we extend it to another local move called region arc shift defined on a region…
An Unknotting Index for Virtual Links
Kirandeep Kaur, Madeti Prabhakar, Andrei Vesnin
Given a virtual link diagram , we define its unknotting index to be minimum among tuples, where stands for the number of crossings virtualized and stands…
Two-variable polynomial invariants of virtual knots arising from flat virtual knot invariants
Kirandeep Kaur, Madeti Prabhakar, Andrei Vesnin
We introduce two sequences of two-variable polynomials and , expressed in terms of index value of a cross…