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» Distance Oracles for Sparse Graphs
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FSTTCS
2010
Springer
13 years 3 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
STOC
2009
ACM
155views Algorithms» more  STOC 2009»
14 years 6 months ago
A nearly optimal oracle for avoiding failed vertices and edges
We present an improved oracle for the distance sensitivity problem. The goal is to preprocess a directed graph G = (V, E) with non-negative edge weights to answer queries of the f...
Aaron Bernstein, David R. Karger
SIAMCOMP
2002
113views more  SIAMCOMP 2002»
13 years 5 months ago
Fast Greedy Algorithms for Constructing Sparse Geometric Spanners
Given a set V of n points in Rd and a real constant t > 1, we present the first O(n log n)-time algorithm to compute a geometric t-spanner on V . A geometric t-spanner on V is a...
Joachim Gudmundsson, Christos Levcopoulos, Giri Na...
TSP
2010
13 years 25 days ago
Coherence-based performance guarantees for estimating a sparse vector under random noise
We consider the problem of estimating a deterministic sparse vector x0 from underdetermined measurements Ax0 +w, where w represents white Gaussian noise and A is a given determinis...
Zvika Ben-Haim, Yonina C. Eldar, Michael Elad
APPROX
2006
Springer
120views Algorithms» more  APPROX 2006»
13 years 10 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