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ADCM
2010
129views more  ADCM 2010»
13 years 7 months ago
Construction of positive definite cubature formulae and approximation of functions via Voronoi tessellations
Let Rd be a compact convex set of positive measure. In a recent paper, we established a definiteness theory for cubature formulae of order two on . Here we study extremal propert...
Allal Guessab, Gerhard Schmeisser
CORR
2007
Springer
217views Education» more  CORR 2007»
13 years 7 months ago
Hard constraint satisfaction problems have hard gaps at location 1
An instance of the maximum constraint satisfaction problem (Max CSP) is a nite collection of constraints on a set of variables, and the goal is to assign values to the variables ...
Peter Jonsson, Andrei A. Krokhin, Fredrik Kuivinen
SODA
2010
ACM
214views Algorithms» more  SODA 2010»
14 years 4 months ago
Amplified Hardness of Approximation for VCG-Based Mechanisms
If a two-player social welfare maximization problem does not admit a PTAS, we prove that any maximal-in-range truthful mechanism that runs in polynomial time cannot achieve an app...
Shaddin Dughmi, Hu Fu, Robert Kleinberg
FOCS
2004
IEEE
13 years 11 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
Subhash Khot
IPL
2010
115views more  IPL 2010»
13 years 6 months ago
Hardness and approximation of minimum distortion embeddings
We show that the problem of computing a minimum distortion embedding of a given graph into a path remains NP-hard when the input graph is restricted to a bipartite, cobipartite, o...
Pinar Heggernes, Daniel Meister