Minimal forbidden factors of circular words

Risultato della ricerca: Articlepeer review

7 Citazioni (Scopus)


Minimal forbidden factors are a useful tool for investigating properties of words and languages. Two factorial languages are distinct if and only if they have different (antifactorial) sets of minimal forbidden factors. There exist algorithms for computing the minimal forbidden factors of a word, as well as of a regular factorial language. Conversely, Crochemore et al. (1998) [12] gave an algorithm that, given the trie recognizing a finite antifactorial language M, computes a DFA recognizing the language whose set of minimal forbidden factors is M. In the same paper, they showed that the obtained DFA is minimal if the input trie recognizes the minimal forbidden factors of a single word. We generalize this result to the case of a circular word. We discuss several combinatorial properties of the minimal forbidden factors of a circular word. As a byproduct, we obtain a formal definition of the factor automaton of a circular word. Finally, we investigate the case of minimal forbidden factors of the circular Fibonacci words
Lingua originaleEnglish
pagine (da-a)144-153
Numero di pagine10
RivistaTheoretical Computer Science
Stato di pubblicazionePublished - 2019

All Science Journal Classification (ASJC) codes

  • ???subjectarea.asjc.2600.2614???
  • ???subjectarea.asjc.1700.1700???


Entra nei temi di ricerca di 'Minimal forbidden factors of circular words'. Insieme formano una fingerprint unica.

Cita questo