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On a Family of Morphic Images of Arnoux-Rauzy Words

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Language and Automata Theory and Applications (LATA 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5457))

Abstract

In this paper we prove the following result. Let s be an infinite word on a finite alphabet, and N ≥ 0 be an integer. Suppose that all left special factors of s longer than N are prefixes of s, and that s has at most one right special factor of each length greater than N. Then s is a morphic image, under an injective morphism, of a suitable standard Arnoux-Rauzy word.

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Bucci, M., De Luca, A. (2009). On a Family of Morphic Images of Arnoux-Rauzy Words. In: Dediu, A.H., Ionescu, A.M., Martín-Vide, C. (eds) Language and Automata Theory and Applications. LATA 2009. Lecture Notes in Computer Science, vol 5457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00982-2_22

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  • DOI: https://doi.org/10.1007/978-3-642-00982-2_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00981-5

  • Online ISBN: 978-3-642-00982-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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