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Discrete Mathematics & Theoretical Computer Science
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Lyndon factorization of generalized words of Thue

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2002 English Publisher:Centre pour la Communication Scientifique Directe (CCSD)Journal:Discrete Mathematics & Theoretical Computer Science, volume Vol. 5 (eissn: 1365-8050, Copyright policy )
Authors: Anton Černý;

doi: 10.46298/dmtcs.296

Lyndon factorization of generalized words of Thue

Abstract

The i-th symbol of the well-known infinite word of Thue on the alphabet \ 0,1\ can be characterized as the parity of the number of occurrences of the digit 1 in the binary notation of i. Generalized words of Thue are based on counting the parity of occurrences of an arbitrary word w∈\ 0,1\^+-0^* in the binary notation of i. We provide here the standard Lyndon factorization of some subclasses of this class of infinite words.

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Keywords

[info.info-dm] computer science [cs]/discrete mathematics [cs.dm], Formal languages and automata, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], Lyndon word, lyndon factorization, [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], Lyndon factorization, lyndon word, QA1-939, automatic sequence, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
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Published in a Diamond OA journal