The Maximal Subword Complexity of Quasiperiodic Infinite Words

Autor: Ronny Polley, Ludwig Staiger
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Zdroj: Electronic Proceedings in Theoretical Computer Science, Vol 31, Iss Proc. DCFS 2010, Pp 169-176 (2010)
Druh dokumentu: article
ISSN: 2075-2180
DOI: 10.4204/EPTCS.31.19
Popis: 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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