2022
DOI: 10.48550/arxiv.2206.00995
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Lie Complexity of Sturmian Words

Alessandro De Luca1,
Gabriele Fici2

Abstract: Bell and Shallit recently introduced the Lie complexity of an infinite word s as the function counting for each length the number of conjugacy classes of words whose elements are all factors of s. We give a formula for the Lie complexity of Sturmian words.

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