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INFOCOM
2011
IEEE
12 years 8 months ago
Approximate distance queries and compact routing in sparse graphs
—An approximate distance query data structure is a compact representation of a graph, and can be queried to approximate shortest paths between any pair of vertices. Any such data...
Rachit Agarwal, Philip Brighten Godfrey, Sariel Ha...
CORR
2012
Springer
228views Education» more  CORR 2012»
12 years 6 days 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
ESA
2007
Springer
188views Algorithms» more  ESA 2007»
13 years 10 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
FOCS
2009
IEEE
13 years 11 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
PODC
2006
ACM
13 years 10 months ago
Object location using path separators
We study a novel separator property called k-path separable. Roughly speaking, a k-path separable graph can be recursively separated into smaller components by sequentially removi...
Ittai Abraham, Cyril Gavoille