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An Optimal O(log log n) Time Parallel Algorithm for Detecting all Squares in a String

An optimal \(O(\log\log n)\)-time parallel algorithm for detecting all squares in a string
Authors: Apostolico, Albert; Breslauer, Dany;

An Optimal O(log log n) Time Parallel Algorithm for Detecting all Squares in a String

Abstract

An optimal O(log log n) time concurrent-read concurrent-write parallel<br />algorithm for detecting all squares in a string is presented. A tight<br />lower bound shows that over general alphabets this is the fastest possible<br />optimal algorithm. When p processors are available the bounds become<br />Theta(n log n / p + log log 2p). The algorithm uses an optimal parallel<br />string-matching algorithm together with periodicity properties to locate<br />the squares within the input string.

Country
United States
Keywords

parallel string-matching algorithm, Computer Sciences, Analysis of algorithms and problem complexity, Distributed algorithms, Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Average
Top 10%
Average
Green
gold