Tying up the loose ends in fully LZW-compressed pattern matching

Gawrychowski, Pawel

doi:10.4230/LIPIcs.STACS.2012.624

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Tying up the loose ends in fully LZW-compressed pattern matching

Author Pawel Gawrychowski

Part of: Volume: 29th International Symposium on Theoretical Aspects of Computer Science (STACS 2012)
Part of: Series: Leibniz International Proceedings in Informatics (LIPIcs)
Part of: Conference: Symposium on Theoretical Aspects of Computer Science (STACS)
License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license
Publication Date: 2012-02-24

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DOI: 10.4230/LIPIcs.STACS.2012.624
URN: urn:nbn:de:0030-drops-33975

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Keywords

pattern matching
compression
Lempel-Ziv-Welch

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Abstract

We consider a natural generalization of the classical pattern matching problem: given compressed representations of a pattern p[1..M] and a text t[1..N] of sizes m and n, respectively, does p occur in t? We develop an optimal linear time solution for the case when p and t are compressed using the LZW method. This improves the previously known O((n+m)log(n+m)) time solution of Gasieniec and Rytter, and essentially closes the line of research devoted to tudying LZW-compressed exact pattern matching.

Cite As Get BibTex

Pawel Gawrychowski. Tying up the loose ends in fully LZW-compressed pattern matching. In 29th International Symposium on Theoretical Aspects of Computer Science (STACS 2012). Leibniz International Proceedings in Informatics (LIPIcs), Volume 14, pp. 624-635, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012) https://doi.org/10.4230/LIPIcs.STACS.2012.624

Author Details

Pawel Gawrychowski

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