A symmetry property of Christoffel words

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.

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2025-11-19
DOI
https://doi.org/10.1051/ita/2025016/pdf
Primary Topic
semigroups and automata theory
Type
article
Field-Weighted Citation Impact
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article

A symmetry property of Christoffel words

Springer Link (Chiba Institute of Technology)
semigroups and automata theory
article

A symmetry property of Christoffel words

article en

Abstract

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.

Springer Link (Chiba Institute of Technology)
Reduced inequalities
Openalex Percentile: Top 32%
semigroups and automata theory
DOISourceOpenAlex
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A symmetry property of Christoffel words · Springer Link (Chiba Institute of Technology) (2025) | TGRS Research Map | TGRS