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Avoiding Patterns in the Abelian Sense

Published online by Cambridge University Press:  20 November 2018

J. Currie  and
V. Linek
J. Currie
Affiliation:
Department of Mathematics and Statistics, University of Winnipeg, Winnipeg, Manitoba, R3B 2E9
V. Linek
Affiliation:
Department of Mathematics and Statistics, University of Winnipeg, Winnipeg, Manitoba, R3B 2E9
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Abstract

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We classify all 3 letter patterns that are avoidable in the abelian sense. A short list of four letter patterns for which abelian avoidance is undecided is given. Using a generalization of Zimin words we deduce some properties of $\omega$-words avoiding these patterns.

Keywords

0568
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 53 , Issue 4 , 01 August 2001 , pp. 696 - 714
Copyright
Copyright © Canadian Mathematical Society 2001

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