# A Symmetry Property of Christoffel Words

arXiv: https://arxiv.org/abs/2406.16408 · HTML: https://mlsanity.com/paper/2406.16408/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 2 of its 22 references that are in the map.
- First posted on arXiv 24 Jun 2024.

## Builds on (most cited first, 2 of 2)

- [At the Roots of Dictionary Compression: String Attractors](https://mlsanity.com/paper/1710.10964/) (2017)
- [String Attractors](https://mlsanity.com/paper/1709.05314/) (2017)

## Abstract (arXiv)

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.