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https://dx.doi.org/10.48550/ar...
Article . 2010
License: arXiv Non-Exclusive Distribution
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The Maximal Subword Complexity of Quasiperiodic Infinite Words

Authors: Ronny Polley; Ludwig Staiger;

The Maximal Subword Complexity of Quasiperiodic Infinite Words

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.

In Proceedings DCFS 2010, arXiv:1008.1270

Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
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gold