| Issue |
RAIRO-Theor. Inf. Appl.
Volume 42, Number 4, October-December 2008
Fibonacci words
|
|
|---|---|---|
| Page(s) | 663 - 678 | |
| Section | Topical issue: Fibonacci Words | |
| DOI | https://doi.org/10.1051/ita:2007062 | |
| Published online | 15 January 2008 | |
Study of irreducible balanced pairs for substitutive languages
IML CNRS UMR 6206 Campus de Luminy, Case 907 13288 Marseille, Cedex 9, France; bernat@iml.univ-mrs.fr
Received:
12
January
2007
Accepted:
23
November
2007
Let 
be a language.
A balanced pair (u,v) consists of two words u and v in which have the same number of
occurrences of each letter.
It is irreducible if the pairs of strict prefixes of u and v of the same length do not form balanced pairs. In this article, we are interested in computing the set of irreducible balanced pairs on several cases of languages.
We make connections with the balanced pairs algorithm and discrete geometrical constructions related to substitutive languages.
We characterize substitutive languages which have infinitely many irreducible balanced pairs of a given form.
Mathematics Subject Classification: 68R15
Key words: Substitutive languages / balanced pairs / algorithm on words.
© EDP Sciences, 2008
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