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» Short path queries in planar graphs in constant time
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MOBIHOC
2001
ACM
14 years 7 months ago
Geometric spanner for routing in mobile networks
We propose a new routing graph, the Restricted Delaunay Graph (RDG), for ad hoc networks. Combined with a node clustering algorithm, RDG can be used as an underlying graph for geo...
Jie Gao, Leonidas J. Guibas, John Hershberger, Li ...
ISAAC
2004
Springer
121views Algorithms» more  ISAAC 2004»
14 years 1 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...
TCOS
2010
13 years 6 months ago
Approximate Shortest Path Queries Using Voronoi Duals
We propose an approximation method to answer point-to-point shortest path queries in undirected edge-weighted graphs, based on random sampling and Voronoi duals. We compute a simp...
Shinichi Honiden, Michael E. Houle, Christian Somm...
CORR
2012
Springer
228views Education» more  CORR 2012»
12 years 3 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
ICALP
1995
Springer
13 years 11 months ago
Shortest Path Queries in Digraphs of Small Treewidth
We consider the problem of preprocessing an n-vertex digraph with real edge weights so that subsequent queries for the shortest path or distance between any two vertices can be efï...
Shiva Chaudhuri, Christos D. Zaroliagis