A Symmetry Property of Christoffel Words

Fuente: arXiv
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Hauptverfasser: Lanciault, Yan, Reutenauer, Christophe
Format: Preprint
Veröffentlicht: 2024
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author Lanciault, Yan
Reutenauer, Christophe
author_facet Lanciault, Yan
Reutenauer, Christophe
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_16408
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Symmetry Property of Christoffel Words
Lanciault, Yan
Reutenauer, Christophe
Combinatorics
Computation and Language
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.
title A Symmetry Property of Christoffel Words
topic Combinatorics
Computation and Language
url https://arxiv.org/abs/2406.16408