In-Place BWT and Lyndon Array Construction in Constant Space

Fuente: arXiv
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Autori principali: Louza, Felipe A., Lefebvre, Arnaud
Natura: Preprint
Pubblicazione: 2025
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author Louza, Felipe A.
Lefebvre, Arnaud
author_facet Louza, Felipe A.
Lefebvre, Arnaud
contents We present an extension of the in-place BWT algorithm of Crochemore et al. [8] that enables the construction of the Lyndon array using O(1) extra space. Our approach incrementally maintains the lexicographic ranks of the suffixes during the right-to-left BWT construction and then derives the Lyndon array through a simple next-smaller-value procedure. Although not intended for practical use due to its quadratic running time, the method is conceptually simple and works for unbounded alphabets.
format Preprint
id arxiv_https___arxiv_org_abs_2512_20869
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle In-Place BWT and Lyndon Array Construction in Constant Space
Louza, Felipe A.
Lefebvre, Arnaud
Data Structures and Algorithms
We present an extension of the in-place BWT algorithm of Crochemore et al. [8] that enables the construction of the Lyndon array using O(1) extra space. Our approach incrementally maintains the lexicographic ranks of the suffixes during the right-to-left BWT construction and then derives the Lyndon array through a simple next-smaller-value procedure. Although not intended for practical use due to its quadratic running time, the method is conceptually simple and works for unbounded alphabets.
title In-Place BWT and Lyndon Array Construction in Constant Space
topic Data Structures and Algorithms
url https://arxiv.org/abs/2512.20869