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» Hardness amplification within NP
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STOC
1999
ACM
176views Algorithms» more  STOC 1999»
14 years 1 months ago
On the Complexity of Computing Short Linearly Independent Vectors and Short Bases in a Lattice
Motivated by Ajtai’s worst-case to average-case reduction for lattice problems, we study the complexity of computing short linearly independent vectors (short basis) in a lattic...
Johannes Blömer, Jean-Pierre Seifert
SODA
2010
ACM
219views Algorithms» more  SODA 2010»
14 years 6 months ago
Algorithms and Complexity for Periodic Real-Time Scheduling
We investigate the preemptive scheduling of periodic tasks with hard deadlines. We show that, even in the uniprocessor case, no polynomial time algorithm can test the feasibility ...
Vincenzo Bonifaci, Ho-Leung Chan, Alberto Marchett...
WADS
2007
Springer
140views Algorithms» more  WADS 2007»
14 years 3 months ago
A Stab at Approximating Minimum Subadditive Join
Let (L, ∗) be a semilattice, and let c : L → [0, ∞) be monotone and increasing on L. We state the Minimum Join problem as: given size n sub-collection X of L and integer k w...
Staal A. Vinterbo
CORR
2011
Springer
167views Education» more  CORR 2011»
13 years 4 months ago
On Quadratic Programming with a Ratio Objective
Quadratic Programming (QP) is the well-studied problem of maximizing over {−1, 1} values the quadratic form i=j aijxixj. QP captures many known combinatorial optimization proble...
Aditya Bhaskara, Moses Charikar, Rajsekar Manokara...
ICS
2010
Tsinghua U.
14 years 1 months ago
Weight Distribution and List-Decoding Size of Reed-Muller Codes
: We study the weight distribution and list-decoding size of Reed-Muller codes. Given a weight parameter, we are interested in bounding the number of Reed-Muller codewords with a w...
Tali Kaufman, Shachar Lovett, Ely Porat