Minimal grid diagrams of the prime alternating knots with 12 crossings-Reference-Cited by-同舟云学术

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Minimal grid diagrams of the prime alternating knots with 12 crossings

Published:2022-01 Issue:01 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:

Jin Gyo Taek¹,Lee Hwa Jeong²^ORCID

Affiliation:

1. Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea

2. Department of Mathematics Education, Dongguk University-Gyeongju, Gyeongju 38066, Korea

Abstract

In this paper, we give a list of minimal grid diagrams of the 12 crossing prime alternating knots. This is a continuation of the work in [G. T. Jin and H. J. Lee, Minimal grid diagrams of 11 crossing prime alternating knots, J. Knot Theory Ramifications 29(11) (2020) Article ID: 2050076, 14 pp.].

Funder

National Research Foundation of Korea

Dongguk University

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216522500043

Reference4 articles.

1. An upper bound of arc index of links

2. Embedding knots and links in an open book I: Basic properties

3. PRIME KNOTS WHOSE ARC INDEX IS SMALLER THAN THE CROSSING NUMBER

4. Minimal grid diagrams of 11 crossing prime alternating knots

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