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FOCS
2010
IEEE
13 years 5 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
CORR
2010
Springer
107views Education» more  CORR 2010»
13 years 6 months ago
Maximum Betweenness Centrality: Approximability and Tractable Cases
The Maximum Betweenness Centrality problem (MBC) can be defined as follows. Given a graph find a k-element node set C that maximizes the probability of detecting communication be...
Martin Fink, Joachim Spoerhase
JSCIC
2010
134views more  JSCIC 2010»
13 years 2 months ago
Radial Basis Function Interpolation on Irregular Domain through Conformal Transplantation
Abstract In this paper, Radial Basis Function (RBF) method for interpolating two dimensional functions with localized features defined on irregular domain is presented. RBF points ...
Alfa R. H. Heryudono, Tobin A. Driscoll
PQCRYPTO
2010
149views Cryptology» more  PQCRYPTO 2010»
13 years 9 months ago
Properties of the Discrete Differential with Cryptographic Applications
Abstract. Recently, the Csignature scheme has been completely broken by Dubois et al. [2, 3]. As a consequence, the security of SFLASH and other multivariate public key systems hav...
Daniel Smith-Tone
APPROX
2010
Springer
220views Algorithms» more  APPROX 2010»
13 years 9 months ago
Constant Approximation Algorithms for Embedding Graph Metrics into Trees and Outerplanar Graphs
We present a simple factor 6 algorithm for approximating the optimal multiplicative distortion of embedding (unweighted) graph metrics into tree metrics (thus improving and simplif...
Victor Chepoi, Feodor F. Dragan, Ilan Newman, Yuri...