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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
FCCM
2006
IEEE
107views VLSI» more  FCCM 2006»
13 years 11 months ago
Hardware/Software Integration for FPGA-based All-Pairs Shortest-Paths
Field-Programmable Gate Arrays (FPGAs) are being employed in high performance computing systems owing to their potential to accelerate a wide variety of long-running routines. Par...
Uday Bondhugula, Ananth Devulapalli, James Dinan, ...
IPL
2010
247views more  IPL 2010»
13 years 3 months ago
The Floyd-Warshall algorithm on graphs with negative cycles
The Floyd-Warshall algorithm is a simple and widely used algorithm to compute shortest paths between all pairs of vertices in an edge weighted directed graph. It can also be used ...
Stefan Hougardy
STOC
2009
ACM
155views Algorithms» more  STOC 2009»
14 years 5 months ago
A nearly optimal oracle for avoiding failed vertices and edges
We present an improved oracle for the distance sensitivity problem. The goal is to preprocess a directed graph G = (V, E) with non-negative edge weights to answer queries of the f...
Aaron Bernstein, David R. Karger