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» Boolean Functions, Invariance Groups and Parallel Complexity
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COCO
2004
Springer
118views Algorithms» more  COCO 2004»
13 years 10 months ago
Graph Properties and Circular Functions: How Low Can Quantum Query Complexity Go?
In decision tree models, considerable attention has been paid on the effect of symmetry on computational complexity. That is, for a permutation group Γ, how low can the complexit...
Xiaoming Sun, Andrew Chi-Chih Yao, Shengyu Zhang
COCO
2005
Springer
77views Algorithms» more  COCO 2005»
13 years 10 months ago
On the Sensitivity of Cyclically-Invariant Boolean Functions
In this paper we construct a cyclically invariant Boolean function whose sensitivity is Θ(n1/3 ). This result answers two previously published questions. Tur´an (1984) asked if ...
Sourav Chakraborty
ACISP
1999
Springer
13 years 9 months ago
On the Symmetric Property of Homogeneous Boolean Functions
We use combinatorial methods and permutation groups to classify homogeneous boolean functions. The property of symmetry of a boolean function limits the size of the function’s cl...
Chengxin Qu, Jennifer Seberry, Josef Pieprzyk
DFG
1992
Springer
13 years 8 months ago
Complexity of Boolean Functions on PRAMs - Lower Bound Techniques
Determining time necessary for computing important functions on parallel machines is one of the most important problems in complexity theory for parallel algorithms. Recently, a s...
Miroslaw Kutylowski