Region unknotting number of $2$-bridge knots

Vikash Siwach; Prabhakar Madeti

Region unknotting number of $2$-bridge knots

Geometric Topology 2014-07-11 v1

Authors: Vikash Siwach , Prabhakar Madeti

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 $C(m,\ n), C(m,\ 2,\ m),$ $C(m,\ 2,\ m\pm1)$ and $C(2,\ m,\ 2,\ n)$ . By generalizing, we also provide a sharp upper bound for all the remaining classes of $2$ -bridge knots.

Keywords

region unknotting number 2-bridge knots Conway notation upper bound knot theory

Cite

@article{arxiv.1407.2688,
  title  = {Region unknotting number of $2$-bridge knots},
  author = {Vikash Siwach and Prabhakar Madeti},
  journal= {arXiv preprint arXiv:1407.2688},
  year   = {2014}
}

Comments

16 pages, 9 figures, Any comments and suggestions are welcomed

Region unknotting number of $2$-bridge knots

Abstract

Keywords

Cite

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