We present a faster all-pairs shortest paths algorithm for arbitrary real-weighted directed graphs. The algorithm works in the fundamental comparison-addition model and runs in O(mn+n2 log log n) time, where m and n are the number of edges & vertices, respectively. This is strictly faster than Johnson's algorithm (for arbitrary edge-weights) and Dijkstra's algorithm (for positive edge-weights) when m = o(n log n) and matches the running time of Hagerup's APSP algorithm, which assumes integer edge-weights and a more powerfulmo delof computation. © 2002 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Pettie, S. (2002). A faster all-pairs shortest path algorithm for real-weighted sparse graphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2380 LNCS, pp. 85–97). Springer Verlag. https://doi.org/10.1007/3-540-45465-9_9
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