The Maximal Subword Complexity of Quasiperiodic Infinite Words

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...

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Veröffentlicht in:Electronic proceedings in theoretical computer science 2010-08, Vol.31 (Proc. DCFS 2010), p.169-176
Hauptverfasser: Polley, Ronny, Staiger, Ludwig
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2075-2180
2075-2180
DOI:10.4204/EPTCS.31.19