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ISAAC
2004
Springer
121views Algorithms» more  ISAAC 2004»
15 years 2 months ago
Approximate Distance Oracles for Graphs with Dense Clusters
Let G be a graph containing N disjoint t-spanners that are inter-connected with M edges. We present an algorithm that constructs a data structure of size O(M2 + n log n) that answ...
Mattias Andersson, Joachim Gudmundsson, Christos L...
CORR
2012
Springer
228views Education» more  CORR 2012»
13 years 5 months ago
Faster Approximate Distance Queries and Compact Routing in Sparse Graphs
A distance oracle is a compact representation of the shortest distance matrix of a graph. It can be queried to retrieve approximate distances and corresponding paths between any p...
Rachit Agarwal, Brighten Godfrey, Sariel Har-Peled
FOCS
2009
IEEE
15 years 4 months ago
Distance Oracles for Sparse Graphs
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
Christian Sommer 0002, Elad Verbin, Wei Yu
ESA
2007
Springer
188views Algorithms» more  ESA 2007»
15 years 3 months ago
Fast and Compact Oracles for Approximate Distances in Planar Graphs
We present an experimental evaluation of an approximate distance oracle recently suggested by Thorup [1] for undirected planar graphs. The oracle uses the existence of graph separa...
Laurent Flindt Muller, Martin Zachariasen
STOC
2001
ACM
139views Algorithms» more  STOC 2001»
15 years 9 months ago
Approximate distance oracles
Let G = (V, E) be an undirected weighted graph with |V | = n and |E| = m. Let k 1 be an integer. We show that G = (V, E) can be preprocessed in O(kmn1/k ) expected time, construc...
Mikkel Thorup, Uri Zwick