Displaying similar documents to “On the conjectures of Rauzy and Shallit for infinite words”

Dejean's conjecture holds for N ≥ 27

James Currie, Narad Rampersad (2009)

RAIRO - Theoretical Informatics and Applications

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We show that Dejean's conjecture holds for ≥ 27. This brings the final resolution of the conjecture by the approach of Moulin Ollagnier within range of the computationally feasible.

A note on a conjecture of Duval and sturmian words

Filippo Mignosi, Luca Q. Zamboni (2002)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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We prove a long standing conjecture of Duval in the special case of sturmian words.