Improved approximate string matching and regular expression matching on Ziv-Lempel compressed texts

Philip Bille, Rolf Fagerberg, Inge Li Gørtz · ACM Transactions on Algorithms · 2009

We study the approximate string matching and regular expression matching problem for the case when the text to be searched is compressed with the Ziv-Lempel adaptive dictionary compression schemes. We present a time-space trade-off that leads to algorithms improving the previously known complexities for both problems. In particular, we significantly improve the space bounds, which in practical applications are likely to be a bottleneck.

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