ELibM mirror of EPTCS 63

Fife's Theorem for (7/3)-Powers

Narad Rampersad
(Department of Mathematics, University of Liège)
Jeffrey Shallit
(School of Computer Science, University of Waterloo)
Arseny Shur
(Department of Algebra and Discrete Mathematics, Ural Federal University)

We prove a Fife-like characterization of the infinite binary (7/3)-power-free words, by giving a finite automaton of 15 states that encodes all such words. As a consequence, we characterize all such words that are 2-automatic.

In Petr Ambrož, Štěpán Holub and Zuzana Masáková: Proceedings 8th International Conference Words 2011 (WORDS 2011), Prague, Czech Republic, 12-16th September 2011, Electronic Proceedings in Theoretical Computer Science 63, pp. 189–198.
Published: 17th August 2011.

ArXived at: http://dx.doi.org/10.4204/EPTCS.63.25 bibtex PDF
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