Factorizations of the Fibonacci Infinite Word

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RESEARCH PRODUCT

Factorizations of the Fibonacci Infinite Word

subject

FOS: Computer and information sciences Discrete Mathematics (cs.DM)Formal Languages and Automata Theory (cs.FL)Crochemore factorization Computer Science - Formal Languages and Automata Theory 68R15 Fibonacci word Lempel-Ziv factorization Lyndon factorization FOS: Mathematics Discrete Mathematics and Combinatorics Mathematics - Combinatorics Zeckendorf representation Crochemore factorization; Fibonacci word; Lempel-Ziv factorization; Lyndon factorization; Zeckendorf representation; Discrete Mathematics and Combinatorics Combinatorics (math.CO)Computer Science - Discrete Mathematics

description

The aim of this note is to survey the factorizations of the Fibonacci infinite word that make use of the Fibonacci words and other related words, and to show that all these factorizations can be easily derived in sequence starting from elementary properties of the Fibonacci numbers.

year	journal	country	edition	language
2015-08-27

https://dx.doi.org/10.48550/arxiv.1508.06754

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