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arXiv · 1607.04346

Space-Efficient Construction of Compressed Indexes in Deterministic Linear Time

J. Ian Munro·Gonzalo Navarro·Yakov Nekrich
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Abstract

We show that the compressed suffix array and the compressed suffix tree of a string $T$ can be built in $O(n)$ deterministic time using $O(n\log\sigma)$ bits of space, where $n$ is the string length and $\sigma$ is the alphabet size. Previously described deterministic algorithms either run in time that depends on the alphabet size or need $\omega(n\log \sigma)$ bits of working space. Our result has immediate applications to other problems, such as yielding the first linear-time LZ77 and LZ78 parsing algorithms that use $O(n \log\sigma)$ bits.

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J. Ian Munro, Gonzalo Navarro, Yakov Nekrich. 2016-07-15. Space-Efficient Construction of Compressed Indexes in Deterministic Linear Time. https://arxiv.org/abs/1607.04346

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