On the conjugates of Christoffel words
Combinatorics
2025-11-12 v5
Abstract
We introduce a parametrization of the conjugates of Christoffel words based on the integer Ostrowski numeration system. We use it to give a precise description of the borders (prefixes which are also suffixes) of the conjugates of Christoffel words and to revisit the notion of Sturmian graph introduced by Epifanio et al.
Cite
@article{arxiv.2202.05486,
title = {On the conjugates of Christoffel words},
author = {Y. Bugeaud and C. Reutenauer},
journal= {arXiv preprint arXiv:2202.05486},
year = {2025}
}
Comments
32 pages