Reductions of mechanical words and nearest integer continued fractions

Bruno Gaujal , Emmanuel Hyon (1, 2)

1 UPN - Université Paris Nanterre
2 RO - Recherche Opérationnelle

We study reduction on finite or periodic Sturmian words. Links between reductions, usual morphisms and the Nearest Integer Continued Fraction expansions are exhibited. This leads to special factorizations of mechanical words used to check in linear time if a word is mechanical.

Domaines: Informatique [cs]

Bruno Gaujal, Emmanuel Hyon. Reductions of mechanical words and nearest integer continued fractions. 6th international conference on words Words06, Sep 2007, Marseille, France. ⟨hal-01311624⟩