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ECCC
2010
108views more  ECCC 2010»
13 years 2 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 4 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 8 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 9 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 6 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