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ECCC
2010
108views more  ECCC 2010»
13 years 4 months ago
Improved bounds for the randomized decision tree complexity of recursive majority
We consider the randomized decision tree complexity of the recursive 3-majority function. For evaluating a height h formulae, we prove a lower bound for the -two-sided-error rando...
Frédéric Magniez, Ashwin Nayak, Mikl...
ALGORITHMICA
2002
94views more  ALGORITHMICA 2002»
13 years 6 months ago
The Quantum Black-Box Complexity of Majority
We describe a quantum black-box network computing the majority of N bits with zerosided error using only 2 3 N + O( N log( -1 log N)) queries: the algorithm returns the correct an...
Thomas P. Hayes, Samuel Kutin, Dieter van Melkebee...
COCO
1991
Springer
112views Algorithms» more  COCO 1991»
13 years 10 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
ICALP
2001
Springer
13 years 11 months ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot
AAAI
1996
13 years 8 months ago
Forward Estimation for Game-Tree Search
It is known that bounds on the minimax values of nodes in a game tree can be used to reduce the computational complexity of minimax search for two-player games. We describe a very...
Weixiong Zhang