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FOCS
2010
IEEE
13 years 6 months ago
Stability Yields a PTAS for k-Median and k-Means Clustering
We consider k-median clustering in finite metric spaces and k-means clustering in Euclidean spaces, in the setting where k is part of the input (not a constant). For the k-means pr...
Pranjal Awasthi, Avrim Blum, Or Sheffet
IACR
2011
212views more  IACR 2011»
12 years 8 months ago
Fully Homomorphic Encryption without Bootstrapping
We present a radically new approach to fully homomorphic encryption (FHE) that dramatically improves performance and bases security on weaker assumptions. A central conceptual con...
Zvika Brakerski, Craig Gentry, Vinod Vaikuntanatha...
APPROX
2009
Springer
126views Algorithms» more  APPROX 2009»
14 years 3 months ago
Improved Inapproximability Results for Maximum k-Colorable Subgraph
We study the maximization version of the fundamental graph coloring problem. Here the goal is to color the vertices of a k-colorable graph with k colors so that a maximum fraction ...
Venkatesan Guruswami, Ali Kemal Sinop
COMPGEOM
2009
ACM
14 years 3 months ago
Near-linear approximation algorithms for geometric hitting sets
Given a set system (X, R), the hitting set problem is to find a smallest-cardinality subset H ⊆ X, with the property that each range R ∈ R has a non-empty intersection with H...
Pankaj K. Agarwal, Esther Ezra, Micha Sharir
FOCS
2006
IEEE
14 years 2 months ago
Improved Bounds for Online Routing and Packing Via a Primal-Dual Approach
In this work we study a wide range of online and offline routing and packing problems with various objectives. We provide a unified approach, based on a clean primal-dual method...
Niv Buchbinder, Joseph Naor