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Bounds for the Generalized Repetition Threshold

Abstract : The notion of repetition threshold, which is the object of Dejean's conjecture (1972), was generalized by Ilie, Ochem, and Shallit in 2005, to include the lengths of the avoided words. We give a lower and an upper bound on this generalized repetition threshold.
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Contributor : Pascal Ochem <>
Submitted on : Monday, October 8, 2012 - 10:39:08 AM
Last modification on : Thursday, July 8, 2021 - 3:48:18 AM


  • HAL Id : lirmm-00739391, version 1


Francesca Fiorenzi, Pascal Ochem, Elise Vaslet. Bounds for the Generalized Repetition Threshold. Theoretical Computer Science, Elsevier, 2011, 412 (27), pp.2955-2963. ⟨lirmm-00739391⟩



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