Infinite smooth Lyndon words

Details Infinite smooth Lyndon words Infinite smooth Lyndon words

2008-05-14

arxiv.org/abs/0805.2077v2

Mathematics

Combinatorics

Extended version with the correct main result. There was an error in the first version

Scientific paper

In a recent paper, Brlek, Jamet and Paquin showed that some extremal infinite smooth words are also infinite Lyndon words. This result raises a natural question: are they the only ones? If no, what do the infinite smooth words that are also Lyndon words look like? In this paper, we give the answer, proving that the only infinite smooth Lyndon words are $m_{\{a

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