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SIAM Journal on Discrete Mathematics
Article . 1989 . Peer-reviewed
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Constructing a Maximal Independent Set in Parallel

Constructing a maximal independent set in parallel
Authors: Goldberg, Mark; Spencer, Thomas;

Constructing a Maximal Independent Set in Parallel

Abstract

Summary: The problem of constructing in parallel a maximal independent set of a given graph is considered. A new deterministic NC-algorithm implemented in the EREW PRAM model is presented. On graphs with n vertices and m edges, it uses \(0((n+m)/\log n)\) processors and runs in \(0(\log^ 3\) n) time. This reduces by a factor of log n both the running time and the processor count of the previously fastest deterministic algorithm that solves the problem using a linear number of processors.

Keywords

EREW PRAM model, Graph theory (including graph drawing) in computer science, deterministic NC-algorithm, Models of computation (Turing machines, etc.), maximal independent set

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    influence
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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!
61
Average
Top 10%
Top 10%
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