TABULATING ALTERNATING KNOTS THROUGH 14 CROSSINGS-Reference-Cited by-同舟云学术

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TABULATING ALTERNATING KNOTS THROUGH 14 CROSSINGS

Published:1994-12 Issue:04 Volume:03 Page:433-437
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

ARNOLD BRIAN¹,AU MICHAEL¹,CANDY CHRISTOPER¹,ERDENER KAAN¹,FAN JAMES¹,FLYNN RICHARD¹,MUIR ROBS JOHN¹,WU DANNY¹,HOSTE JIM²

Affiliation:

1. Claremont High School, 1601 N. Indian Hill Blvd., Claremont, CA 91711, USA

2. Pitzer College, Claremont, CA 91711, USA

Abstract

We tabulate all prime alternating knots through fourteen crossings. This provides the first list of 14-crossing prime alternating knots as well as the first confirmation of Thistlethwaite's tabulation of 12- and 13-crossing alternating knots.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216594000319

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Enumeration and Classification of Knots and Links;Handbook of Knot Theory;2005

2. ENUMERATING THE PRIME ALTERNATING KNOTS, PART I;Journal of Knot Theory and Its Ramifications;2004-02

3. The first 1,701,936 knots;The Mathematical Intelligencer;1998-09

4. Does the Jones Polynomial Detect Unknottedness?;Experimental Mathematics;1997-01

5. A representation of knot polynomials;Physics Letters A;1996-06

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