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Preprints, Working Papers, ... Year : 2024

k-anti-power uniform morphisms

Francis Wlazinski

Abstract

Words whose every k(≥ 3) successive factors of the same length are all different, i.e., kanti-power words are natural extensions of square-free words (every two successive factors of the same length are different). We give a way to verify whether a uniform morphism preserves k-anti-power words, i.e., the image by this morphism of all k-anti-power words are k-anti-power words. A consequence of the existence of such morphisms is the possibility of generating an infinite k-anti-power word.
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Dates and versions

hal-04375742 , version 1 (05-01-2024)
hal-04375742 , version 2 (07-03-2024)

Licence

Attribution - NonCommercial - NoDerivatives

Identifiers

  • HAL Id : hal-04375742 , version 2

Cite

Francis Wlazinski. k-anti-power uniform morphisms. 2024. ⟨hal-04375742v2⟩

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