Proof of Dejean's conjecture for alphabets with 5, 6, 7, 8, 9, 10 and 11 letters

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On the number of Dejean words over alphabets of 5, 6, 7, 8, 9 and 10 letters

We give lower bounds on the growth rate of Dejean words, i.e. minimally repetitive words, over a k-letter alphabet, for 5 ≤ k ≤ 10. Put together with the known upper bounds, we estimate these growth rates with the precision of 0.005. As an consequence, we establish the exponential growth of the number of Dejean words over a k-letter alphabet, for 5 ≤ k ≤ 10.

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 1992

ISSN: 0304-3975

DOI: 10.1016/0304-3975(92)90264-g