Quasiperiodic Sturmian words and morphisms
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.
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Veröffentlicht in: | Theoretical computer science 2007-03, Vol.372 (1), p.15-25 |
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container_title | Theoretical computer science |
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creator | Levé, F. Richomme, G. |
description | 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. |
doi_str_mv | 10.1016/j.tcs.2006.10.034 |
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Moreover, we study links between Sturmian morphisms and quasiperiodicity.</description><subject>Algorithmics. Computability. Computer arithmetics</subject><subject>Applied sciences</subject><subject>Computer Science</subject><subject>Computer science; control theory; systems</subject><subject>Discrete Mathematics</subject><subject>Exact sciences and technology</subject><subject>Language theory and syntactical analysis</subject><subject>Lyndon words</subject><subject>Morphisms</subject><subject>Quasiperiodicity</subject><subject>Sturmian words</subject><subject>Theoretical computing</subject><issn>0304-3975</issn><issn>1879-2294</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNp9UE1LAzEQDaJgrf4Ab3vxoLDr5HsXT0XUCgUR9RzSbEJTuh8k24r_3iwrenMuwzzeezPzELrEUGDA4nZbDCYWBECkuQDKjtAMl7LKCanYMZoBBZbTSvJTdBbjFlJxKWbo5nWvo-9t8F3tTfY27EPjdZt9dqGOmW7rrOlCv_GxiefoxOldtBc_fY4-Hh_e75f56uXp-X6xyg0DNuSc2oqBMEQaR51mznHrXGmoAVdi5wjFlDEiGJaGS04qCU7WXDK2XtuKAp2j68l3o3eqD77R4Ut12qvlYqVGLN2OhZDVAScunrgmdDEG634FGNQYjNqqFIwagxmhFEzSXE2aXkejdy7o1vj4Jyy5oBxG77uJZ9OzB2-Disbb1tjaB2sGVXf-ny3fFPl2ig</recordid><startdate>20070306</startdate><enddate>20070306</enddate><creator>Levé, F.</creator><creator>Richomme, G.</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>6I.</scope><scope>AAFTH</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope><scope>VOOES</scope><orcidid>https://orcid.org/0000-0003-2211-7448</orcidid><orcidid>https://orcid.org/0000-0002-6571-5096</orcidid></search><sort><creationdate>20070306</creationdate><title>Quasiperiodic Sturmian words and morphisms</title><author>Levé, F. ; Richomme, G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c404t-53e9406c27cf3fa4ff5eff8c3c0f81ff23134426417c5752970f7d5744bbe9303</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Algorithmics. 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Computer arithmetics</topic><topic>Applied sciences</topic><topic>Computer Science</topic><topic>Computer science; control theory; systems</topic><topic>Discrete Mathematics</topic><topic>Exact sciences and technology</topic><topic>Language theory and syntactical analysis</topic><topic>Lyndon words</topic><topic>Morphisms</topic><topic>Quasiperiodicity</topic><topic>Sturmian words</topic><topic>Theoretical computing</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Levé, F.</creatorcontrib><creatorcontrib>Richomme, G.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Theoretical computer science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Levé, F.</au><au>Richomme, G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quasiperiodic Sturmian words and morphisms</atitle><jtitle>Theoretical computer science</jtitle><date>2007-03-06</date><risdate>2007</risdate><volume>372</volume><issue>1</issue><spage>15</spage><epage>25</epage><pages>15-25</pages><issn>0304-3975</issn><eissn>1879-2294</eissn><coden>TCSCDI</coden><abstract>We characterize all quasiperiodic Sturmian words: A Sturmian word is not quasiperiodic if and only if it is a Lyndon word. 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subjects | Algorithmics. Computability. Computer arithmetics Applied sciences Computer Science Computer science control theory systems Discrete Mathematics Exact sciences and technology Language theory and syntactical analysis Lyndon words Morphisms Quasiperiodicity Sturmian words Theoretical computing |
title | Quasiperiodic Sturmian words and morphisms |
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