Lyndon morphisms

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منابع مشابه

Conjugacy of morphisms and Lyndon decomposition of standard Sturmian words

Words 2005-Conjugacy of morphisms and Lyndon decomposition of standard Sturmian words – p.1/11

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Sudo-Lyndon

Based on Lyndon words, a new Sudoku-like puzzle is presented and some relative theoretical questions are proposed.

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Counting Lyndon Factors

In this paper, we determine the maximum number of distinct Lyndon factors that a word of length n can contain. We also derive formulas for the expected total number of Lyndon factors in a word of length n on an alphabet of size σ, as well as the expected number of distinct Lyndon factors in such a word. The minimum number of distinct Lyndon factors in a word of length n is 1 and the minimum tot...

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Inverse Lyndon words and Inverse Lyndon factorizations of words

Motivated by applications to string processing, we introduce variants of the Lyndon factorization called inverse Lyndon factorizations. Their factors, named inverse Lyndon words, are in a class that strictly contains anti-Lyndon words, that is Lyndon words with respect to the inverse lexicographic order. We prove that any nonempty word w admits a canonical inverse Lyndon factorization, named IC...

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Universal Lyndon Words

A word w over an alphabet Σ is a Lyndon word if there exists an order defined on Σ for which w is lexicographically smaller than all of its conjugates (other than itself). We introduce and study universal Lyndon words, which are words over an n-letter alphabet that have length n! and such that all the conjugates are Lyndon words. We show that universal Lyndon words exist for every n and exhibit...

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ژورنال

عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin

سال: 2003

ISSN: 1370-1444

DOI: 10.36045/bbms/1074791331