Discrete Mathematics & Theoretical Computer Science


Volume 4 n° 2 (2001), pp. 273-290

author:Ján Maňuch
title:Defect Effect of Bi-infinite Words in the Two-element Case
keywords:defect effect, bi-infinite words
abstract:Let X be a two-element set of words over a finite alphabet. If a bi-infinite word possesses two X-factorizations which are not shiftequivalent, then the primitive roots of the words in X are conjugates. Note, that this is a strict sharpening of a defect theorem for bi-infinite words stated in KMP. Moreover, we prove that there is at most one bi-infinite word possessing two different X-factorizations and give a necessary and sufficient conditions on X for the existence of such a word. Finally, we prove that the family of sets X for which such a word exists is parameterizable.
reference: Ján Maňuch (2001), Defect Effect of Bi-infinite Words in the Two-element Case, Discrete Mathematics and Theoretical Computer Science 4, pp. 273-290
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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