17 citations · 25 across the 10 of their papers we have counts for
11 papers
B-index polynomial for twisted knots
Kirandeep Kaur, Madeti Prabhakar, Vaibhav Keshari
A twisted link is a generalization of a virtual link associated with link diagrams on closed surfaces, which may be non-orientable. In this paper, we generalize the notion of the i…
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…
Extending Quasi-Alternating Links
Nafaa Chbili, Kirandeep Kaur
Champanerkar and Kofman introduced an interesting way to construct new examples of quasi-alternating links from existing ones. Actually, they proved that replacing a quasi-alternat…
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…