Abstract
The paper concerns some issues related to the existence of periodic structures in words from formal languages. Squares, i.e., fragments of the form xx, where x is some word, and ∆-squares, i.e., fragments of the form xy, where the word x is different from the word y by not more than ∆ letters, are considered as periodic structures. We show the existence of arbitrarily long words over three-letter alphabet not Containing ∆-Squares with the period exceeding ∆. In particular, such words are constructed for all possible values ∆.
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