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  External inverse pattern matching

Gasieniec, L., Indyk, P., & Krysta, P.(1996). External inverse pattern matching (MPI-I-1996-1-030). Saarbrücken: Max-Planck-Institut für Informatik.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0014-A410-3 Version Permalink: https://hdl.handle.net/21.11116/0000-0001-7331-6
Genre: Report

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MPI-I-96-1-030.pdf (Any fulltext), 225KB
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 Creators:
Gasieniec, Leszek1, Author           
Indyk, Piotr1, Author           
Krysta, Piotr1, Author           
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1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: We consider {\sl external inverse pattern matching} problem. Given a text $\t$ of length $n$ over an ordered alphabet $\Sigma$, such that $|\Sigma|=\sigma$, and a number $m\le n$. The entire problem is to find a pattern $\pe\in \Sigma^m$ which is not a subword of $\t$ and which maximizes the sum of Hamming distances between $\pe$ and all subwords of $\t$ of length $m$. We present optimal $O(n\log\sigma)$-time algorithm for the external inverse pattern matching problem which substantially improves the only known polynomial $O(nm\log\sigma)$-time algorithm introduced by Amir, Apostolico and Lewenstein. Moreover we discuss a fast parallel implementation of our algorithm on the CREW PRAM model.

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Language(s): eng - English
 Dates: 1996
 Publication Status: Issued
 Pages: 12 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: Report Nr.: MPI-I-1996-1-030
BibTex Citekey: GasieniecIndykKrysta96
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Title: Research Report / Max-Planck-Institut für Informatik
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