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Balance Properties and Distribution of Squares in Circular Words

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5257))

Abstract

We study balance properties of circular words over alphabets of size greater than two. We give some new characterizations of balanced words connected to the Kawasaki-Ising model and to the notion of derivative of a word. Moreover we consider two different generalizations of the notion of balance, and we find some relations between them. Some of our results can be generalised to non periodic infinite words as well.

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Masami Ito Masafumi Toyama

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© 2008 Springer-Verlag Berlin Heidelberg

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Mantaci, R., Mantaci, S., Restivo, A. (2008). Balance Properties and Distribution of Squares in Circular Words. In: Ito, M., Toyama, M. (eds) Developments in Language Theory. DLT 2008. Lecture Notes in Computer Science, vol 5257. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85780-8_40

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  • DOI: https://doi.org/10.1007/978-3-540-85780-8_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85779-2

  • Online ISBN: 978-3-540-85780-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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