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142
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FOCS
2004
IEEE
15 years 7 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
131
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JCO
2011
115views more  JCO 2011»
14 years 10 months ago
Approximation scheme for restricted discrete gate sizing targeting delay minimization
Discrete gate sizing is a critical optimization in VLSI circuit design. Given a set of available gate sizes, discrete gate sizing problem asks to assign a size to each gate such th...
Chen Liao, Shiyan Hu
138
Voted
INFOCOM
2006
IEEE
15 years 9 months ago
Complexity of Wavelength Assignment in Optical Network Optimization
— We study the complexity of a spectrum of design problems for optical networks in order to carry a set of demands. Under wavelength division multiplexing (WDM) technology, deman...
Matthew Andrews, Lisa Zhang
COCO
2005
Springer
131views Algorithms» more  COCO 2005»
15 years 9 months ago
On the Hardness of Approximating Multicut and Sparsest-Cut
We show that the Multicut, Sparsest-Cut, and Min-2CNF≡ Deletion problems are NP-hard to approximate within every constant factor, assuming the Unique Games Conjecture of Khot [S...
Shuchi Chawla, Robert Krauthgamer, Ravi Kumar, Yuv...
151
Voted
FOCS
2009
IEEE
15 years 10 months ago
Decomposing Coverings and the Planar Sensor Cover Problem
We show that a k-fold covering using translates of an arbitrary convex polygon can be decomposed into Omega(k) covers (using an efficient algorithm). We generalize this result to ...
Matt Gibson, Kasturi R. Varadarajan