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» Distance Oracles for Sparse Graphs
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FSTTCS
2010
Springer
14 years 7 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»
15 years 10 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»
14 years 9 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
14 years 4 months 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»
15 years 1 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