Superbridge and bridge indices for knots

Colin Adams; Nikhil Agarwal; Rachel Allen; Tirasan Khandhawit; Alex Simons; Rebecca Winarski; Mary Wootters

doi:10.1142/S0218216521500097

Superbridge and bridge indices for knots

Colin Adams
, Nikhil Agarwal
, Rachel Allen
, Tirasan Khandhawit
, Alex Simons
, Rebecca Winarski
, Mary Wootters

Department of Mathematics

Williams College
LIGO-Massachusetts Institute of Technology
Department of Civil and Environmental Engineering
College of the Holy Cross
Stanford University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We improve the upper bound on superbridge index sb[K] in terms of bridge index b[K] from sb[K] ≤ 5b[K]-3 to sb[K] ≤ 3b[K]-1.

Original language	English
Article number	2150009
Journal	Journal of Knot Theory and its Ramifications
Volume	30
Issue number	2
DOIs	https://doi.org/10.1142/S0218216521500097
Publication status	Published - Feb 2021

Keywords

Superbridge index
bridge index
geometric degree

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10.1142/S0218216521500097

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title = "Superbridge and bridge indices for knots",

abstract = "We improve the upper bound on superbridge index sb[K] in terms of bridge index b[K] from sb[K] ≤ 5b[K]-3 to sb[K] ≤ 3b[K]-1.",

keywords = "Superbridge index, bridge index, geometric degree",

author = "Colin Adams and Nikhil Agarwal and Rachel Allen and Tirasan Khandhawit and Alex Simons and Rebecca Winarski and Mary Wootters",

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doi = "10.1142/S0218216521500097",

language = "English",

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T1 - Superbridge and bridge indices for knots

AU - Adams, Colin

AU - Agarwal, Nikhil

AU - Allen, Rachel

AU - Khandhawit, Tirasan

AU - Simons, Alex

AU - Winarski, Rebecca

AU - Wootters, Mary

PY - 2021/2

Y1 - 2021/2

N2 - We improve the upper bound on superbridge index sb[K] in terms of bridge index b[K] from sb[K] ≤ 5b[K]-3 to sb[K] ≤ 3b[K]-1.

AB - We improve the upper bound on superbridge index sb[K] in terms of bridge index b[K] from sb[K] ≤ 5b[K]-3 to sb[K] ≤ 3b[K]-1.

KW - Superbridge index

KW - bridge index

KW - geometric degree

UR - https://www.scopus.com/pages/publications/85103541688

U2 - 10.1142/S0218216521500097

DO - 10.1142/S0218216521500097

M3 - Article

AN - SCOPUS:85103541688

SN - 0218-2165

VL - 30

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 2

M1 - 2150009

ER -

Superbridge and bridge indices for knots

Abstract

Keywords

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