A1 Refereed original research article in a scientific journal
Introducing privileged words – privileged complexity of Sturmian words
Subtitle: privileged complexity of Sturmian words
Authors: Jarkko Peltomäki
Publisher: Elsevier B.V.
Publication year: 2013
Journal: Theoretical Computer Science
Journal acronym: TCS
Volume: 500
First page : 57
Last page: 67
Number of pages: 11
ISSN: 0304-3975
eISSN: 0304-3975
DOI: https://doi.org/10.1016/j.tcs.2013.05.028
Web address : http://www.sciencedirect.com/science/article/pii/S0304397513004027
Abstract
In this paper we introduce a new class of so-called privileged words which have been previously considered only a little. We develop the basic properties of privileged words, which turn out to share similar properties with palindromes. Privileged words are studied in relation to previously studied classes of words, rich words, Sturmian words and episturmian words. A new characterization of Sturmian words is given in terms of privileged complexity. The privileged complexity of the Thue-Morse word is also briefly studied.
In this paper we introduce a new class of so-called privileged words which have been previously considered only a little. We develop the basic properties of privileged words, which turn out to share similar properties with palindromes. Privileged words are studied in relation to previously studied classes of words, rich words, Sturmian words and episturmian words. A new characterization of Sturmian words is given in terms of privileged complexity. The privileged complexity of the Thue-Morse word is also briefly studied.
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