String attractors and bi-infinite words
Combinatorics
2024-03-21 v1 Discrete Mathematics
Abstract
String attractors are a combinatorial tool coming from the field of data compression. It is a set of positions within a word which intersects an occurrence of every factor. While one-sided infinite words admitting a finite string attractor are eventually periodic, the situation is different for two-sided infinite words. In this paper, we characterise the bi-infinite words admitting a finite string attractor as the characteristic Sturmian words and their morphic images. For words that do not admit finite string attractors, we study the structure and properties of their infinite string attractors.
Cite
@article{arxiv.2403.13449,
title = {String attractors and bi-infinite words},
author = {Pierre Béaur and France Gheeraert and Benjamin Hellouin de Menibus},
journal= {arXiv preprint arXiv:2403.13449},
year = {2024}
}
Comments
19 pages