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» On the Exponent of the All Pairs Shortest Path Problem
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FOCS
1991
IEEE
13 years 8 months ago
On the Exponent of the All Pairs Shortest Path Problem
The upper bound on the exponent, ω, of matrix multiplication over a ring that was three in 1968 has decreased several times and since 1986 it has been 2.376. On the other hand, t...
Noga Alon, Zvi Galil, Oded Margalit
ALGORITHMICA
2011
12 years 11 months ago
All-Pairs Bottleneck Paths in Vertex Weighted Graphs
Let G = (V, E, w) be a directed graph, where w : V → R is an arbitrary weight function defined on its vertices. The bottleneck weight, or the capacity, of a path is the smalles...
Asaf Shapira, Raphael Yuster, Uri Zwick
IPPS
1998
IEEE
13 years 9 months ago
NC Algorithms for the Single Most Vital Edge Problem with Respect to All Pairs Shortest Paths
For a weighted, undirected graph G = V;E where jVj = n and jEj = m, we examine the single most vital edge with respect to two measurements related to all-pairs shortest paths APSP....
Sven Venema, Hong Shen, Francis Suraweera
PPSN
2010
Springer
13 years 2 months ago
More Effective Crossover Operators for the All-Pairs Shortest Path Problem
The all-pairs shortest path problem is the first non-artificial problem for which it was shown that adding crossover can significantly speed up a mutation-only evolutionary algorit...
Benjamin Doerr, Daniel Johannsen, Timo Kötzin...