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arXiv · 1507.01231

Computing Runs on a General Alphabet

Dmitry Kosolobov
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Abstract

We describe a RAM algorithm computing all runs (maximal repetitions) of a given string of length $n$ over a general ordered alphabet in $O(n\log^{\frac{2}3} n)$ time and linear space. Our algorithm outperforms all known solutions working in $\Theta(n\log\sigma)$ time provided $\sigma = n^{\Omega(1)}$, where $\sigma$ is the alphabet size. We conjecture that there exists a linear time RAM algorithm finding all runs.

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Dmitry Kosolobov. 2015-07-05. Computing Runs on a General Alphabet. https://arxiv.org/abs/1507.01231

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