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The Maximal Subword Complexity of Quasiperiodic Infinite Words (1008.1659v1)
Published 10 Aug 2010 in cs.FL, cs.DM, cs.IT, and math.IT
Abstract: We provide an exact estimate on the maximal subword complexity for quasiperiodic infinite words. To this end we give a representation of the set of finite and of infinite words having a certain quasiperiod q via a finite language derived from q. It is shown that this language is a suffix code having a bounded delay of decipherability. Our estimate of the subword complexity now follows from this result, previously known results on the subword complexity and elementary results on formal power series.
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