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APPROX
2010
Springer
132views Algorithms» more  APPROX 2010»
14 years 12 days ago
Relativized Worlds without Worst-Case to Average-Case Reductions for NP
We prove that relative to an oracle, there is no worst-case to average-case reduction for NP. We also handle classes that are somewhat larger than NP, as well as worst-case to err...
Thomas Watson
APPROX
2010
Springer
189views Algorithms» more  APPROX 2010»
13 years 11 months ago
Approximating Sparsest Cut in Graphs of Bounded Treewidth
We give the first constant-factor approximation algorithm for Sparsest-Cut with general demands in bounded treewidth graphs. In contrast to previous algorithms, which rely on the f...
Eden Chlamtac, Robert Krauthgamer, Prasad Raghaven...
APPROX
2010
Springer
160views Algorithms» more  APPROX 2010»
13 years 11 months ago
Proximity Algorithms for Nearly-Doubling Spaces
We introduce a new problem in the study of doubling spaces: Given a point set S and a target dimension d , remove from S the fewest number of points so that the remaining set has d...
Lee-Ad Gottlieb, Robert Krauthgamer
APPROX
2010
Springer
168views Algorithms» more  APPROX 2010»
14 years 12 days ago
Differential Privacy and the Fat-Shattering Dimension of Linear Queries
In this paper, we consider the task of answering linear queries under the constraint of differential privacy. This is a general and well-studied class of queries that captures oth...
Aaron Roth
APPROX
2010
Springer
150views Algorithms» more  APPROX 2010»
13 years 11 months ago
Reconstruction Threshold for the Hardcore Model
In this paper we consider the reconstruction problem on the tree for the hardcore model. We determine new bounds for the non-reconstruction regime on the k-regular tree showing non...
Nayantara Bhatnagar, Allan Sly, Prasad Tetali