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Fibonacci Words — A Survey

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Abstract

Fibonacci words have many amazing combinatorial properties. Like Fibonacci numbers they are easy to define, and many of their properties are easy to prove, once discovered. The aim of this survey is to sketch some of the combinatorial properties related to factors (subwords) of Fibonacci words, and also to describe basic arithmetic operations (i.e. normalization and addition) in the Fibonacci number system. No attempt was made to be complete.

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© 1986 Springer-Verlag Berlin Heidelberg

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Berstel, J. (1986). Fibonacci Words — A Survey. In: The Book of L. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-95486-3_2

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  • DOI: https://doi.org/10.1007/978-3-642-95486-3_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-95488-7

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