A Symmetry Property of Christoffel Words
arXiv:2406.16408v1
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This provides a new characterization of Christoffel words in combinatorics, which is an incremental theoretical contribution.
The paper introduced a bivariate symmetry property for trapezoidal words and proved that this property characterizes Christoffel words, establishing related mathematical results.
Motivated by the theory of trapezoidal words, whose sequences of cardinality of factors by length are symmetric, we introduce a bivariate variant of this symmetry. We show that this symmetry characterizes Christoffel words, and establish other related results.