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Pré-Publication, Document De Travail Année : 2019

3-anti-power uniform morphisms

Résumé

Words whose three successive factors of the same length are all different i.e. 3-anti-power words are more natural extensions of square-free words (two successive factors of the same length are different) than cube-free words. We give a way to verify whether a uniform morphism preserves 3-anti-power words (the image of a 3-anti-power word is a 3-anti-power word). A consequence of the existence of such morphisms is the possibility of generating an infinite 3-anti-power word.
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Dates et versions

hal-02279489 , version 1 (05-09-2019)
hal-02279489 , version 2 (08-11-2019)
hal-02279489 , version 3 (09-12-2019)
hal-02279489 , version 4 (21-12-2023)

Identifiants

  • HAL Id : hal-02279489 , version 1

Citer

Francis Wlazinski. 3-anti-power uniform morphisms. 2019. ⟨hal-02279489v1⟩
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