Introducing Privileged Words: Privileged Complexity of Sturmian Words
Combinatorics
2013-08-20 v2 Discrete Mathematics
Abstract
In this paper we study the 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.
Keywords
Cite
@article{arxiv.1210.3146,
title = {Introducing Privileged Words: Privileged Complexity of Sturmian Words},
author = {Jarkko Peltomäki},
journal= {arXiv preprint arXiv:1210.3146},
year = {2013}
}
Comments
15 pages, 1 figure