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SIAMCOMP
2010
172views more  SIAMCOMP 2010»
13 years 1 days 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
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
PC
2010
196views Management» more  PC 2010»
13 years 3 months ago
Solving path problems on the GPU
We consider the computation of shortest paths on Graphic Processing Units (GPUs). The blocked recursive elimination strategy we use is applicable to a class of algorithms (such as...
Aydin Buluç, John R. Gilbert, Ceren Budak
ECCC
2006
112views more  ECCC 2006»
13 years 5 months ago
Faster algorithms for finding lowest common ancestors in directed acyclic graphs
We present two new methods for finding a lowest common ancestor (LCA) for each pair of vertices of a directed acyclic graph (dag) on n vertices and m edges. The first method is su...
Artur Czumaj, Miroslaw Kowaluk, Andrzej Lingas
INFOCOM
2009
IEEE
13 years 12 months ago
A Queueing Model Framework of PCE-Based Inter-Area Path Computation
Abstract—Path computation elements (PCE’s) are used to compute end-to-end paths across multiple areas. Multiple PCE’s may be dedicated to each area to provide sufficient path...
Juanjuan Yu, Yue He, Kai Wu, Marco Tacca, Andrea F...