| Issue |
RAIRO-Theor. Inf. Appl.
Volume 59, 2025
Generation, enumeration and tiling
|
|
|---|---|---|
| Article Number | 18 | |
| Number of page(s) | 10 | |
| DOI | https://doi.org/10.1051/ita/2025016 | |
| Published online | 19 November 2025 | |
A symmetry property of Christoffel words
Département de mathématiques, Université du Québec à Montréal, Canada
* Corresponding author: reutenauer.christophe@uqam.ca
Received:
30
January
2025
Accepted:
25
September
2025
Motivated by the theory of trapezoidal words, whose sequences of cardinality of factors by length is symmetric, we introduce a bivariate variant of this symmetry, called Symmetry. We show that this property characterizes Christoffel words, and prove other related results.
Mathematics Subject Classification: 05A05 / 68R15
Key words: Combinatorics on words / Christoffel words / Sturmian words / trapezoidal / attractor / symmetry
© The authors. Published by EDP Sciences, 2025
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