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SODA
2012
ACM
253views Algorithms» more  SODA 2012»
13 years 9 days ago
Kernelization of packing problems
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
Holger Dell, Dániel Marx
STOC
2010
ACM
244views Algorithms» more  STOC 2010»
15 years 7 months ago
Improving Exhaustive Search Implies Superpolynomial Lower Bounds
The P vs NP problem arose from the question of whether exhaustive search is necessary for problems with short verifiable solutions. We do not know if even a slight algorithmic imp...
Ryan Williams
STOC
2010
ACM
216views Algorithms» more  STOC 2010»
15 years 7 months ago
BQP and the Polynomial Hierarchy
The relationship between BQP and PH has been an open problem since the earliest days of quantum computing. We present evidence that quantum computers can solve problems outside th...
Scott Aaronson
STOC
2010
ACM
204views Algorithms» more  STOC 2010»
15 years 7 months ago
On the Hardness of the Noncommutative Determinant
In this paper we study the computational complexity of computing the noncommutative determinant. We first consider the arithmetic circuit complexity of computing the noncommutativ...
Vikraman Arvind and Srikanth Srinivasan
ECCC
2007
100views more  ECCC 2007»
14 years 9 months ago
Unconditional pseudorandom generators for low degree polynomials
Abstract: We give an explicit construction of a pseudorandom generator against lowdegree polynomials over finite fields. Pseudorandom generators against linear polynomials, known...
Shachar Lovett