
arXiv: 1008.1659
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.
In Proceedings DCFS 2010, arXiv:1008.1270
FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Formal Languages and Automata Theory (cs.FL), Computer Science - Information Theory, Information Theory (cs.IT), Computer Science - Formal Languages and Automata Theory, QA75.5-76.95, F.4.3, F.4.m, F.1.1, Electronic computers. Computer science, QA1-939, Mathematics, Computer Science - Discrete Mathematics
FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Formal Languages and Automata Theory (cs.FL), Computer Science - Information Theory, Information Theory (cs.IT), Computer Science - Formal Languages and Automata Theory, QA75.5-76.95, F.4.3, F.4.m, F.1.1, Electronic computers. Computer science, QA1-939, Mathematics, Computer Science - Discrete Mathematics
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