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Quasiperiodic Sturmian words and morphisms

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 2007Embargo end date: 01 Jan 2006 English Publisher:Elsevier BVJournal:Theoretical Computer Science, volume 372, pages 15-25 (issn: 0304-3975, Copyright policy )
Authors: Florence Levé; Gwénaël Richomme;

doi: 10.1016/j.tcs.2006.10.034 , 10.48550/arxiv.cs/0601027

arXiv: cs/0601027

Quasiperiodic Sturmian words and morphisms

Abstract

We characterize all quasiperiodic Sturmian words: a Sturmian word is not quasiperiodic if and only if it is a Lyndon word. Moreover, we study links between Sturmian morphisms and quasiperiodicity.

Related Organizations
Keywords

FOS: Computer and information sciences, Combinatorics on words, Discrete Mathematics (cs.DM), morphisms, quasiperiodicity, Sturmian words, Lyndon words, Theoretical Computer Science, Morphisms, Quasiperiodicity, Computer Science(all), Computer Science - Discrete Mathematics

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    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).
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    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.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
17
Average
Top 10%
Top 10%
Green
hybrid