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arXiv · 1201.6162

Quasiperiodicities in Fibonacci strings

Michalis Christou·Maxime Crochemore·Costas Iliopoulos
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Abstract

We consider the problem of finding quasiperiodicities in a Fibonacci string. A factor u of a string y is a cover of y if every letter of y falls within some occurrence of u in y. A string v is a seed of y, if it is a cover of a superstring of y. A left seed of a string y is a prefix of y that it is a cover of a superstring of y. Similarly a right seed of a string y is a suffix of y that it is a cover of a superstring of y. In this paper, we present some interesting results regarding quasiperiodicities in Fibonacci strings, we identify all covers, left/right seeds and seeds of a Fibonacci string and all covers of a circular Fibonacci string.

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Michalis Christou, Maxime Crochemore, Costas Iliopoulos. 2012-01-30. Quasiperiodicities in Fibonacci strings. https://arxiv.org/abs/1201.6162

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