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On the Number of Closed Factors in a Word

  • Autori: Badkobeh, G.; Fici, G.; Lipták, Z.
  • Anno di pubblicazione: 2015
  • Tipologia: Contributo in atti di convegno pubblicato in volume
  • OA Link:


A closed word (a.k.a. periodic-like word or complete first return) is a word whose longest border does not have internal occurrences, or, equivalently, whose longest repeated prefix is not right special.We investigate the structure of closed factors of words. We show that a word of length n contains at least n + 1 distinct closed factors, and characterize those words having exactly n + 1 closed factors. Furthermore, we show that a word of length n can contain Θ(n2) many distinct closed factors.