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arXiv · 2202.05486

On the conjugates of Christoffel words

Y. Bugeaud·C. Reutenauer
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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.

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Y. Bugeaud, C. Reutenauer. 2025-11-04. On the conjugates of Christoffel words. https://doi.org/10.46298/dmtcs.15140

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