WORDS AVOIDING $\frac{7}{3}$-POWERS AND THE THUE–MORSE MORPHISM

Author:

RAMPERSAD NARAD1

Affiliation:

1. School of Computer Science, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, Canada N2L 3G1, Canada

Abstract

In 1982, Séébold showed that the only overlap-free binary words that are the fixed points of non-identity morphisms are the Thue–Morse word and its complement. We strengthen Séébold's result by showing that the same result holds if the term 'overlap-free' is replaced with '[Formula: see text]-power-free'. Furthermore, the number [Formula: see text] is best possible.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Cited by 4 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. Growth properties of power-free languages;Computer Science Review;2012-11

2. Deciding context equivalence of binary overlap-free words in linear time;Semigroup Forum;2012-03-08

3. Fife's Theorem for (7/3)-Powers;Electronic Proceedings in Theoretical Computer Science;2011-08-17

4. Growth Properties of Power-Free Languages;Developments in Language Theory;2011

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