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» Distance Oracles for Sparse Graphs
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FOCS
2010
IEEE
13 years 2 months ago
Distance Oracles beyond the Thorup-Zwick Bound
We give the first improvement to the space/approximation trade-off of distance oracles since the seminal result of Thorup and Zwick [STOC'01]. For unweighted graphs, our dista...
Mihai Patrascu, Liam Roditty
FOCS
2009
IEEE
13 years 11 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
WSDM
2010
ACM
199views Data Mining» more  WSDM 2010»
14 years 2 months ago
A Sketch-Based Distance Oracle for Web-Scale Graphs
We study the fundamental problem of computing distances between nodes in large graphs such as the web graph and social networks. Our objective is to be able to answer distance que...
Atish Das Sarma, Sreenivas Gollapudi, Marc Najork,...
ISAAC
2004
Springer
121views Algorithms» more  ISAAC 2004»
13 years 10 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...
STOC
2001
ACM
139views Algorithms» more  STOC 2001»
14 years 5 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