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Periodic musical sequences and Lyndon words

✍ Scribed by M. Chemillier


Publisher
Springer
Year
2004
Tongue
English
Weight
300 KB
Volume
8
Category
Article
ISSN
1432-7643

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πŸ“œ SIMILAR VOLUMES


Lyndon words, permutations and trees
✍ Christophe Hohlweg; Christophe Reutenauer πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 197 KB
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✍ Vesa Halava; Tero Harju; Lucian Ilie πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 102 KB

We give an elementary short proof for a well known theorem of Guibas and Odlyzko stating that the sets of periods of words are independent of the alphabet size. As a consequence of our constructive proof, we obtain a linear time algorithm which, given a word, computes a binary one with the same peri

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✍ Wai-Fong Chuan πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 731 KB

Let a be an irrational number with 0 < a < 1. Using the continued fraction expansion of a, the class of a-words is introduced. It contains certain sequences of words that are known to relate to the characteristic sequence f(a) of a. When a = (v'~-1)/2, a-words are precisely the Fibonacci words. In t