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» Engineering Shortest Path Algorithms
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IFIP
2004
Springer
14 years 1 months ago
Efficient Protocols for Computing the Optimal Swap Edges of a Shortest Path Tree
We consider the problem of computing the optimal swap edges of a shortest-path tree. This theoretical problem arises in practice in systems that offer point-offailure shortest-path...
Paola Flocchini, Antonio Mesa Enriques, Linda Pagl...
ISAAC
2009
Springer
113views Algorithms» more  ISAAC 2009»
14 years 7 days ago
On Shortest Disjoint Paths in Planar Graphs
For a graph G and a collection of vertex pairs {(s1, t1), . . . , (sk, tk)}, the k disjoint paths problem is to find k vertex-disjoint paths P1, . . . , Pk, where Pi is a path fr...
Yusuke Kobayashi, Christian Sommer 0002
ALENEX
2010
161views Algorithms» more  ALENEX 2010»
13 years 9 months ago
Route Planning with Flexible Objective Functions
We present the first fast route planning algorithm that answers shortest paths queries for a customizable linear combination of two different metrics, e. g. travel time and energy...
Robert Geisberger, Moritz Kobitzsch, Peter Sanders
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
SPAA
2004
ACM
14 years 1 months ago
Cache-oblivious shortest paths in graphs using buffer heap
We present the Buffer Heap (BH), a cache-oblivious priority queue that supports Delete-Min, Delete, and Decrease-Key operations in O( 1 B log2 N B ) amortized block transfers fro...
Rezaul Alam Chowdhury, Vijaya Ramachandran