Region unknotting number of $2$-bridge knots

Vikash Siwach; Prabhakar Madeti

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arXiv · 1407.2688

Region unknotting number of $2$-bridge knots

Vikash Siwach·Prabhakar Madeti

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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.

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BibTeX RIS

Vikash Siwach, Prabhakar Madeti. 2014-07-10. Region unknotting number of $2$-bridge knots. https://arxiv.org/abs/1407.2688

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