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» Randomized Algorithms and Complexity Theory
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COCO
1991
Springer
112views Algorithms» more  COCO 1991»
15 years 3 months ago
Randomized vs.Deterministic Decision Tree Complexity for Read-Once Boolean Functions
We consider the deterministic and the randomized decision tree complexities for Boolean functions, denoted DC(f) and RC(f), respectively. A major open problem is how small RC(f) ca...
Rafi Heiman, Avi Wigderson
STOC
1989
ACM
117views Algorithms» more  STOC 1989»
15 years 3 months ago
On the Theory of Average Case Complexity
This paper takes the next step in developing the theory of average case complexity initiated by Leonid A Levin. Previous works Levin 84, Gurevich 87, Venkatesan and Levin 88] have...
Shai Ben-David, Benny Chor, Oded Goldreich, Michae...
STOC
2010
ACM
176views Algorithms» more  STOC 2010»
15 years 4 months ago
Complexity Theory for Operators in Analysis
We propose a new framework for discussing computational complexity of problems involving uncountably many objects, such as real numbers, sets and functions, that can be represente...
Akitoshi Kawamura and Stephen Cook
STOC
1989
ACM
99views Algorithms» more  STOC 1989»
15 years 3 months ago
A Random Polynomial Time Algorithm for Approximating the Volume of Convex Bodies
We present a randomised polynomial time algorithm for approximating the volume of a convex body K in n-dimensional Euclidean space. The proof of correctness of the algorithm relie...
Martin E. Dyer, Alan M. Frieze, Ravi Kannan
FSTTCS
1999
Springer
15 years 3 months ago
A Randomized Algorithm for Flow Shop Scheduling
Abstract. Shop scheduling problems are known to be notoriously intractable, both in theory and practice. In this paper we give a randomized approximation algorithm for flow shop s...
Naveen Garg, Sachin Jain, Chaitanya Swamy