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» Boolean Functions, Invariance Groups and Parallel Complexity
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COCO
2004
Springer
118views Algorithms» more  COCO 2004»
14 years 22 days 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»
14 years 27 days 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 11 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 11 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