Study of irreducible balanced pairs for substitutive languages
Let be a language. A balanced pair consists of two words and in which have the same number of occurrences of each letter. It is irreducible if the pairs of strict prefixes of and 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...