Blondin Massé, Alexandre; DESMEULES, SARAH; GABOURY, SÉBASTIEN et HALLÉ, SYLVAIN
(2013).
« MULTIPSEUDOPERIODIC WORDS ».
International Journal of Foundations of Computer Science, 24(07), pp. 1153-1166.
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Résumé
We consider words over an arbitrary alphabet admitting multiple pseudoperiods according to permutations. We describe the conditions under which such a word exists. Moreover, a natural generalization of Fine and Wilf's Theorem is proved. Finally, we introduce and describe a new family of words sharing properties with the so-called central words. In particular, under some simple conditions, we prove that these words are pseudopalindromes, a result consistent with the fact that central words are palindromes.