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arXiv · 1510.02882

Lempel-Ziv Computation In Compressed Space (LZ-CICS)

Dominik Köppl·Kunihiko Sadakane
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Abstract

We show that both the Lempel Ziv 77- and the 78-factorization of a text of length $n$ on an integer alphabet of size $\sigma$ can be computed in $O(n \lg \lg \sigma)$ time (linear time if we allow randomization) using $O(n \lg \sigma)$ bits of working space. Given that a compressed representation of the suffix tree is loaded into RAM, we can compute both factorizations in $O(n)$ time using $z \lg n + O(n)$ bits of space, where $z$ is the number of factors.

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Dominik Köppl, Kunihiko Sadakane. 2015-10-10. Lempel-Ziv Computation In Compressed Space (LZ-CICS). https://arxiv.org/abs/1510.02882

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