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SIAM Journal on Computing
Article . 1995 . Peer-reviewed
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Scaling Algorithms for the Shortest Paths Problem

Scaling algorithms for the shortest paths problem
Authors: Andrew V. Goldberg;

Scaling Algorithms for the Shortest Paths Problem

Abstract

Summary: We describe a new method for designing scaling algorithms for the single- source shortest paths problem and use this method to obtain an \(O (\sqrt nm \log N)\) algorithm for the problem. (Here \(n\) and \(m\) are the number of nodes and arcs in the input network and \(N\) is essentially the absolute value of the most negative arc length: arc lengths are assumed to be integral.) This improves previous bounds for the problem. The method extends to related problems.

Related Organizations
Keywords

scaling algorithms, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Analysis of algorithms and problem complexity, Graph theory (including graph drawing) in computer science, Parallel algorithms in computer science, shortest paths problem

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    citations
    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).
    112
    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.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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citations
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!
112
Top 10%
Top 1%
Top 10%
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