Length-k-overlap-free Binary Infinite Words - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier
Journal Articles Fundamenta Informaticae Year : 2012

Length-k-overlap-free Binary Infinite Words

Abstract

We study length-k-overlap-free binary infinite words, i.e., binary infinite words which can contain only overlaps xyxyx with |x| ≤ k-1. We prove that no such word can be generated by a morphism, except if k = 1. On the other hand, for every k ≥ 2, there exist length-k-overlap-free binary infinite words which are not length-(k-1)-overlap-free. As an application, we prove that, for every non-negative integer n, there exist infinitely many length-k-overlap-free binary infinite partial words with n holes.
Fichier principal
Vignette du fichier
Seebold_kofiw_revised.pdf (222.34 Ko) Télécharger le fichier
Origin Publisher files allowed on an open archive
Loading...

Dates and versions

lirmm-00803975 , version 1 (24-03-2013)

Identifiers

Cite

Patrice Séébold. Length-k-overlap-free Binary Infinite Words. Fundamenta Informaticae, 2012, 116, pp.251-263. ⟨10.3233/FI-2012-682⟩. ⟨lirmm-00803975⟩
124 View
336 Download

Altmetric

Share

More