Region unknotting number of $2$-bridge knots

Abstract

In this paper, we discuss the region unknotting number of different classes of 2-bridge knots. In particular, we provide region unknotting number for the classes of $2$-bridge knots whose Conway notation is $C(m,n),C(m,2,m),$ $C(m,2,m\pm 1)$ and $C(2,m,2,n)$. By generalizing, we also provide a sharp upper bound for all the remaining classes of $2$-bridge knots.

arXiv comment16 pages, 9 figures, Any comments and suggestions are welcomed