Document Zbl 1137.68046

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Attainable lengths for circular binary words avoiding \(k\) powers. (English) Zbl 1137.68046

Bull. Belg. Math. Soc. - Simon Stevin 12, No. 4, 525-534 (2005).

Summary: We show that binary circular words of length \(n\) avoiding \(7/3^+\) powers exist for every sufficiently large \(n\). This is not the case for binary circular words avoiding \(k^+\) powers with \(k < 7/3\).

Cited in 1 Review

Cited in 4 Documents

MSC:

68R15

Combinatorics on words

Keywords:

Dejean’s conjecture; Thue-Morse word

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