English

Superbridge and Bridge Indices for Knots

Geometric Topology 2020-08-17 v1

Abstract

We improve the upper bound on the superbridge index sb[K]sb[K] of a knot type [K][K] in terms of the bridge index b[K]b[K] from sb[K]5b3sb[K] \leq 5b -3 to sb[K]3b[k]1sb[K]\leq 3b[k] - 1.

Keywords

Cite

@article{arxiv.2008.06483,
  title  = {Superbridge and Bridge Indices for Knots},
  author = {Colin Adams and Nikhil Agarwal and Rachel Allen and Tirasan Khandhawit and Alex Simons and Rebecca Winarski and Mary Wootters},
  journal= {arXiv preprint arXiv:2008.06483},
  year   = {2020}
}

Comments

12pages, 4 figures

R2 v1 2026-06-23T17:52:02.989Z