LIPIcs.STACS.2008.1344.pdf
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Understanding Maximal Repetitions in Strings
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25th International Symposium on Theoretical Aspects of Computer Science (STACS 2008)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: Symposium on Theoretical Aspects of Computer Science (STACS) - License:
Creative Commons Attribution-NoDerivs 3.0 Unported license
- Publication Date: 2008-02-06
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Maxime Crochemore and Lucian Ilie. Understanding Maximal Repetitions in Strings. In 25th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 1, pp. 11-16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)
https://doi.org/10.4230/LIPIcs.STACS.2008.1344
Abstract
The cornerstone of any algorithm computing all repetitions in a
string of length $n$ in ${mathcal O(n)$ time is the fact that
the number of runs (or maximal repetitions) is ${mathcal O(n)$.
We give a simple proof of this result. As a consequence of our
approach, the stronger result concerning the linearity of the sum
of exponents of all runs follows easily.
Subject Classification
Keywords
- Combinatorics on words
- repetitions in strings
- runs
- maximal repetitions
- maximal periodicities
- sum of exponents
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