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SIAMCOMP
2010
133views more  SIAMCOMP 2010»
13 years 5 months ago
Faster Algorithms for All-pairs Approximate Shortest Paths in Undirected Graphs
Let G = (V, E) be a weighted undirected graph having non-negative edge weights. An estimate ˆδ(u, v) of the actual distance δ(u, v) between u, v ∈ V is said to be of stretch t...
Surender Baswana, Telikepalli Kavitha
WADS
2007
Springer
145views Algorithms» more  WADS 2007»
14 years 1 months ago
Approximate Shortest Paths Guided by a Small Index
Distance oracles and graph spanners are excerpts of a graph that allow to compute approximate shortest paths. Here, we consider the situation where it is possible to access the ori...
Jörg Derungs, Riko Jacob, Peter Widmayer
APPROX
2006
Springer
120views Algorithms» more  APPROX 2006»
13 years 11 months ago
Approximating Average Parameters of Graphs
Inspired by Feige (36th STOC, 2004), we initiate a study of sublinear randomized algorithms for approximating average parameters of a graph. Specifically, we consider the average ...
Oded Goldreich, Dana Ron
ICALP
2011
Springer
12 years 10 months ago
Compact Navigation and Distance Oracles for Graphs with Small Treewidth
Given an unlabeled, unweighted, and undirected graph with n vertices and small (but not necessarily constant) treewidth k, we consider the problem of preprocessing the graph to bui...
Arash Farzan, Shahin Kamali
FOCS
2009
IEEE
14 years 2 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...