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...
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 ...
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...
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...