3 papers
math.GT2020
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…
math.GT2019
Polynomials of genus one prime knots of complexity at most five
Maxim Ivanov, Andrei Vesnin
Prime knots of genus one admitting diagram with at most five classical crossings were classified by Akimova and Matveev in 2014. In 2018 Kaur, Prabhakar and Vesnin introduced famil…
math.GT2018
On Yamada polynomial of spatial graphs obtained by edge replacements
Miaowang Li, Fengchun Lei, Fengling Li +1
We present formulae for computing the Yamada polynomial of spatial graphs obtained by replacing edges of plane graphs, such as cycle-graphs, theta-graphs, and bouquet-graphs, by sp…