Discrete Mathematics & Theoretical Computer Science, Vol 5 (2002)

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DMTCS vol 5 no 1 (2002), pp. 17-46

Discrete Mathematics & Theoretical Computer Science


Volume 5 n° 1 (2002), pp. 17-46

author: Anton Černý
title:Lyndon factorization of generalized words of Thue
keywords:Lyndon word, Lyndon factorization, automatic sequence
abstract:The i-th symbol of the well-known infinite word of Thue on the alphabet {0,1} can be characterized as the parity of the number of occurrences of the digit 1 in the binary notation of i. Generalized words of Thue are based on counting the parity of occurrences of an arbitrary w∈{0,1}*-0* in the binary notation of i. We provide here the standard Lyndon factorization of some subclasses of this class of infinite words.

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reference: Anton Cerny (2002), Lyndon factorization of generalized words of Thue, Discrete Mathematics and Theoretical Computer Science 5, pp. 17-46
bibtex:For a corresponding BibTeX entry, please consider our BibTeX-file.
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Automatically produced on Mon Mar 25 21:26:51 CET 2002 by ifalk