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Dejean's conjecture holds for n ≥ 27 

Currie, James; Rampersad, Narad (EDP Sciences, 2009)
We show that Dejean’s conjecture holds for n ≥ 27. This brings the final resolution of the conjecture by the approach of Moulin Ollagnier within range of the computationally feasible.
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The Number of Ternary Words Avoiding Abelian Cubes Grows Exponentially 

Currie, James; Rampersad, Narad; Aberkane, Ali (2004-06-19)
We show that the number of ternary words of length n avoiding abelian cubes grows faster than r^n, where r = 2^{1/24}

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Author
Currie, James (2)
Rampersad, Narad (2)
Aberkane, Ali (1)Subjectcombinatorics on words, non-repetitive words, Abelian cubes, decision procedure, enumeration (1)Dejean’s conjecture (1)Fractional exponent (1)Repetitions in words (1)... View MoreDate Issued2004 (1)2009 (1)Has File(s)Yes (2)

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