JOURNAL ARTICLE

More algorithms for all-pairs shortest paths in weighted graphs

Abstract

In the first part of the paper, we reexamine the all-pairsshortest paths (APSP) problem and present a newalgorithm with running time approaching O(n3/log2n), which improves all known algorithms for general real-weighted dense graphs andis perhaps close to the best result possible without using fast matrix multiplication, modulo a few log log n factors.

Keywords:
Modulo Combinatorics Multiplication (music) Algorithm Matrix multiplication Computer science Matrix (chemical analysis) Mathematics Binary logarithm Discrete mathematics Time complexity

Metrics

164
Cited By
22.10
FWCI (Field Weighted Citation Impact)
50
Refs
1.00
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Advanced Graph Theory Research
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
Complexity and Algorithms in Graphs
Physical Sciences →  Computer Science →  Computational Theory and Mathematics
Graph Labeling and Dimension Problems
Physical Sciences →  Computer Science →  Computational Theory and Mathematics

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