Lyndon factorization of the Thue-Morse word and its relatives.
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Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Ido, Augustin, Melançon, Guy (1997)
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We investigate the density of critical factorizations of infinite sequences of words. The density of critical factorizations of a word is the ratio between the number of positions that permit a critical factorization, and the number of all positions of a word. We give a short proof of the Critical Factorization Theorem and show that the maximal number of noncritical positions of a word between two critical ones is less than the period of that word. Therefore, we consider only...
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