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COMPGEOM
2004
ACM
14 years 28 days ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
ACRI
2006
Springer
14 years 1 months ago
A Maze Routing Algorithm Based on Two Dimensional Cellular Automata
This paper propose a maze routing algorithm based on cellular automata. The aim of this algorithm is find the shortest path between the source cell and the target cell , so that th...
Shahram Golzari, Mohammad Reza Meybodi
IEEEPACT
2006
IEEE
14 years 1 months ago
Program generation for the all-pairs shortest path problem
A recent trend in computing are domain-specific program generators, designed to alleviate the effort of porting and reoptimizing libraries for fast-changing and increasingly com...
Sung-Chul Han, Franz Franchetti, Markus Püsch...
FOCS
1991
IEEE
13 years 11 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
WADS
2007
Springer
145views Algorithms» more  WADS 2007»
14 years 1 months ago
Approximate Shortest Paths Guided by a Small Index
Distance oracles and graph spanners are excerpts of a graph that allow to compute approximate shortest paths. Here, we consider the situation where it is possible to access the ori...
Jörg Derungs, Riko Jacob, Peter Widmayer