Directive words of episturmian words: equivalences and normalization

Details Directive words of episturmian words: equivalences and normalization Directive words of episturmian words: equivalences and normalization

2008-02-26

arxiv.org/abs/0802.3888v1

RAIRO - Theoretical Informatics and Applications 43 (2009) 299-319

Computer Science

Discrete Mathematics

15 pages

Scientific paper

10.1051/ita:2008029

Episturmian morphisms constitute a powerful tool to study episturmian words. Indeed, any episturmian word can be infinitely decomposed over the set of pure episturmian morphisms. Thus, an episturmian word can be defined by one of its morphic decompositions or, equivalently, by a certain directive word. Here we characterize pairs of words directing a common episturmian word. We also propose a way to uniquely define any episturmian word through a normalization of its directive words. As a consequence of these results, we characterize episturmian words having a unique directive word.

Affiliated with

Also associated with

No associations

Rating

Directive words of episturmian words: equivalences and normalization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Directive words of episturmian words: equivalences and normalization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Directive words of episturmian words: equivalences and normalization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-25001