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Look and Say Fibonacci

Published online by Cambridge University Press:  04 January 2008

Patrice Séébold
Patrice Séébold*
Affiliation:
LIRMM, Univ. Montpellier 2, CNRS - 161 rue Ada, 34392 Montpellier, France; Patrice.Seebold@lirmm.fr Département Mathématiques et Informatique Appliquées - UFR4, Université Paul Valéry, Route de Mende, 34199 Montpellier, France.
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Abstract

The LS (Look and Say) derivative of a word is obtained by writing the number of consecutive equal letters when the word is spelled from left to right. For example, LS( 1 1 2 3 3) = 2 1 1 2 2 3 (two 1, one 2, two 3). We start the study of the behaviour of binary words generated by morphisms under the LS operator, focusing in particular on the Fibonacci word.

Keywords

Look and Say sequenceConwaybinary wordsFibonacci wordmorphismsLyndon factorization.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 42 , Issue 4: Fibonacci words , October 2008 , pp. 729 - 746
Copyright
© EDP Sciences, 2008

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