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.
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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|
|Copyright:||© 2007 Elsevier Ltd.|
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