Catalog Home Page

Characterizations of finite and infinite episturmian words via lexicographic orderings

Glen, A., Justin, J. and Pirillo, G. (2008) Characterizations of finite and infinite episturmian words via lexicographic orderings. European Journal of Combinatorics, 29 (1). pp. 45-58.

[img]
PDF - Authors' Version
Download (219kB)
Link to Open Access version: http://dx.doi.org/10.1016/j.ejc.2007.01.002
*No subscription required

Abstract

In this paper, we characterize by lexicographic order all finite Sturmian and episturmian words, i.e., all (finite) factors of such infinite words. Consequently, we obtain a characterization of infinite episturmian words in a wide sense (episturmian and episkew infinite words). That is, we characterize the set of all infinite words whose factors are (finite) episturmian. Similarly, we characterize by lexicographic order all balanced infinite words over a 2-letter alphabet; in other words, all Sturmian and skew infinite words, the factors of which are (finite) Sturmian.

Publication Type: Journal Article
Publisher: Academic Press
Copyright: © 2007 Elsevier Ltd.
URI: http://researchrepository.murdoch.edu.au/id/eprint/3877
Item Control Page Item Control Page

Downloads

Downloads per month over past year