Abstract
We contribute to the study of square-free words. The classical notion of a square-free word has a natural generalization to partial words, studied in several papers since 2008. We prove that the maximal density of wildcards in the ternary infinite square-free partial word is surprisingly big: 3/16. In addition, we introduce a related characteristic of infinite square-free words, called flexibility, and find its values for some interesting words and classes of words.
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