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Sturmian jungle (or garden?) on multiliteral alphabets

Published online by Cambridge University Press:  28 February 2011

L'ubomíra Balková ,
Edita Pelantová  and
Štěpán Starosta
L'ubomíra Balková
Affiliation:
Department of Mathematics, FNSPE, Czech Technical University in Prague, Trojanova 13, 120 00 Praha 2, Czech Republic; lubomira.balkova@fjfi.cvut.cz; edita.pelantova@fjfi.cvut.cz; staroste@fjfi.cvut.cz
Edita Pelantová
Affiliation:
Department of Mathematics, FNSPE, Czech Technical University in Prague, Trojanova 13, 120 00 Praha 2, Czech Republic; lubomira.balkova@fjfi.cvut.cz; edita.pelantova@fjfi.cvut.cz; staroste@fjfi.cvut.cz
Štěpán Starosta
Affiliation:
Department of Mathematics, FNSPE, Czech Technical University in Prague, Trojanova 13, 120 00 Praha 2, Czech Republic; lubomira.balkova@fjfi.cvut.cz; edita.pelantova@fjfi.cvut.cz; staroste@fjfi.cvut.cz
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Abstract

The properties characterizing Sturmian words are considered for words on multiliteral alphabets. We summarize various generalizations of Sturmian words to multiliteral alphabets and enlarge the list of known relationships among these generalizations. We provide a new equivalent definition of rich words and make use of it in the study of generalizations of Sturmian words based on palindromes. We also collect many examples of infinite words to illustrate differences in the generalized definitions of Sturmian words.

Keywords

Sturmian wordsgeneralizations of Sturmian wordspalindromesrich words
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 44 , Issue 4 , October 2010 , pp. 443 - 470
Copyright
© EDP Sciences, 2011

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