Lyndon factorization of the Thue-Morse word and its relatives

We compute the Lyndon factorization of the Thue-Morse word. We also compute the Lyndon factorization of two related sequences involving morphisms that give rise to new presentations of these sequences.

Bibliographic Details
Main Authors: Augustin Ido, Guy Melançon
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 1997-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/233/pdf
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author Augustin Ido
Guy Melançon
author_facet Augustin Ido
Guy Melançon
author_sort Augustin Ido
collection DOAJ
description We compute the Lyndon factorization of the Thue-Morse word. We also compute the Lyndon factorization of two related sequences involving morphisms that give rise to new presentations of these sequences.
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publisher Discrete Mathematics & Theoretical Computer Science
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spelling doaj.art-b3a9b86cece14214afb89ae761ad24802024-03-07T14:56:02ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80501997-01-01Vol. 110.46298/dmtcs.233233Lyndon factorization of the Thue-Morse word and its relativesAugustin Ido0Guy Melançon1https://orcid.org/0000-0003-3193-7261Laboratoire Bordelais de Recherche en InformatiqueLaboratoire Bordelais de Recherche en InformatiqueWe compute the Lyndon factorization of the Thue-Morse word. We also compute the Lyndon factorization of two related sequences involving morphisms that give rise to new presentations of these sequences.https://dmtcs.episciences.org/233/pdfmorphismslyndon factorizationthue-morse word[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
spellingShingle Augustin Ido
Guy Melançon
Lyndon factorization of the Thue-Morse word and its relatives
Discrete Mathematics & Theoretical Computer Science
morphisms
lyndon factorization
thue-morse word
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
title Lyndon factorization of the Thue-Morse word and its relatives
title_full Lyndon factorization of the Thue-Morse word and its relatives
title_fullStr Lyndon factorization of the Thue-Morse word and its relatives
title_full_unstemmed Lyndon factorization of the Thue-Morse word and its relatives
title_short Lyndon factorization of the Thue-Morse word and its relatives
title_sort lyndon factorization of the thue morse word and its relatives
topic morphisms
lyndon factorization
thue-morse word
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
url https://dmtcs.episciences.org/233/pdf
work_keys_str_mv AT augustinido lyndonfactorizationofthethuemorsewordanditsrelatives
AT guymelancon lyndonfactorizationofthethuemorsewordanditsrelatives