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» Faster Approximation of Distances in Graphs
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ISAAC
2004
Springer
121views Algorithms» more  ISAAC 2004»
15 years 5 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...
FOCS
2009
IEEE
15 years 6 months ago
Faster Generation of Random Spanning Trees
In this paper, we set forth a new algorithm for generating approximately uniformly random spanning trees in undirected graphs. We show how to sample from a distribution that is wi...
Jonathan A. Kelner, Aleksander Madry
FSTTCS
2010
Springer
14 years 9 months ago
Finding Sparser Directed Spanners
A spanner of a graph is a sparse subgraph that approximately preserves distances in the original graph. More precisely, a subgraph H = (V, EH ) is a k-spanner of a graph G = (V, E...
Piotr Berman, Sofya Raskhodnikova, Ge Ruan