A CONJECTURE OF KAUFFMAN ON AMPHICHEIRAL ALTERNATING KNOTS-Reference-Cited by-同舟云学术

A CONJECTURE OF KAUFFMAN ON AMPHICHEIRAL ALTERNATING KNOTS

Published:1996-10 Issue:05 Volume:05 Page:629-635
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

DASBACH OLIVER T.¹,HOUGARDY STEFAN²

Affiliation:

1. Mathematisches Institut, Abt. M.+M.D., Universitätsstr. 1, D — 40225 Düsseldorf, Germany

2. Institut für Informatik, Humboldt-Universität zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany

Abstract

We give a counterexample to the following conjecture of Kauffman [2]: Conjecture Let K be an amphicheiral alternating knot. Then there exists a reduced alternating knot-diagram D of K, such that G(D) is isomorphic to G* (D), where G(D) is a checkerboard-graph of D and G*(D) its dual.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216596000369

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