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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
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
SIAMCOMP
2010
172views more  SIAMCOMP 2010»
12 years 11 months ago
More Algorithms for All-Pairs Shortest Paths in Weighted Graphs
In the first part of the paper, we reexamine the all-pairs shortest paths (APSP) problem and present a new algorithm with running time O(n3 log3 log n/ log2 n), which improves all...
Timothy M. Chan
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...
STOC
2003
ACM
126views Algorithms» more  STOC 2003»
14 years 5 months ago
A new approach to dynamic all pairs shortest paths
We study novel combinatorial properties of graphs that allow us to devise a completely new approach to dynamic all pairs shortest paths problems. Our approach yields a fully dynam...
Camil Demetrescu, Giuseppe F. Italiano