Characterizations of Perfectly Clustering Words

  • Mélodie Lapointe
  • Christophe Reutenauer

Abstract

Perfectly clustering words are one of many possible generalizations of Christoffel words. In this article, we propose a factorization of a perfectly clustering word on a n letters alphabet into a product of n-1 palindromes with a letter between each of them. This factorization allows us to generalize two combinatorial characterization of Christoffel words due to Pirillo (1999) and de Luca and Mignosi (1994).

Published
2025-07-04
Article Number
P3.8