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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.
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
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
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% |