On the braid index of a two-bridge knot-Reference-Cited by-同舟云学术

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On the braid index of a two-bridge knot

Published:2024-05 Issue:06 Volume:33 Page:
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Suzuki Masaaki¹,Tran Anh T.²^ORCID

Affiliation:

1. Department of Frontier Media Science, Meiji University, 4-21-1 Nakano, Nakano-ku, Tokyo 164-8525, Japan

2. Department of Mathematical Sciences, The University of Texas at Dallas Richardson, TX 75080-3021, USA

Abstract

In this paper, we consider two properties on the braid index of a two-bridge knot. We prove an inequality on the braid indices of two-bridge knots if there exists an epimorphism between their knot groups. Moreover, we provide the average braid index of all two-bridge knots with a given crossing number.

Funder

Simons Foundation

Japan Society for the Promotion of Science

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216524500184

Reference9 articles.

1. Simon’s conjecture for two-bridge knots

2. The growth of the number of prime knots

3. On the braid index of alternating links

4. On minimality of two-bridge knots

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