Ribbonlength of twisted torus knots-Reference-Cited by-同舟云学术

Ribbonlength of twisted torus knots

Published:2022-10 Issue:12 Volume:31 Page:
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Kim Hyoungjun¹,No Sungjong²,Yoo Hyungkee³^ORCID

Affiliation:

1. College of General Education, Kookmin University, Seoul 02707, Korea

2. Department of Mathematics, Kyonggi University, Suwon 16227, Korea

3. Institute of Mathematical Sciences, Ewha Womans University, Seoul 03760, Korea

Abstract

The ribbonlength Rib[Formula: see text] of a knot [Formula: see text] is the infimum of the ratio of the length of any flat knotted ribbon with core [Formula: see text] to its width. A twisted torus knot [Formula: see text] is obtained from the torus knot [Formula: see text] by twisting [Formula: see text] adjacent strands [Formula: see text] full twists. In this paper, we show that the ribbonlength of [Formula: see text] is less then or equal to [Formula: see text] where [Formula: see text] and [Formula: see text] are positive. Furthermore, if [Formula: see text], then the ribbonlength of [Formula: see text] is less then or equal to [Formula: see text].

Funder

National Research Foundation of Kore

National Research Foundation of Korea

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216522500924

Reference16 articles.

1. ENERGY AND LENGTH OF KNOTS

2. Thickness and crossing number of knots

3. Small Seifert-fibered Dehn surgery on hyperbolic knots

4. Ribbonlength of folded ribbon unknots in the plane

5. Mobius Energy of Knots and Unknots

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