Yvette Duval (1931-2006)

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Minimal Duval Extensions

A word v = wu is a (nontrivial) Duval extension of the unbordered word w, if (u is not a prefix of v and) w is an unbordered factor of v of maximum length. After a short survey of the research topic related to Duval extensions, we show that, if wu is a minimal Duval extension, then u is a factor of w. We also show that finite, unbordered factors of Sturmian words are Lyndon words.

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About Duval Extensions ∗

A word v = wu is a (nontrivial) Duval extension of the unbordered word w, if (u is not a prefix of v and) w is an unbordered factor of v of maximum length. A survey of the state of the art of research on Duval extensions is given in this paper.

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ژورنال

عنوان ژورنال: Revue d'Etudes Augustiniennes et Patristiques

سال: 2007

ISSN: 1768-9260,2428-3606

DOI: 10.1484/j.rea.5.100946