In the future, if we are to continue to expect improved application performance we will have to achieve it by exploiting course-grained hardware parallelism rather then simply rel...
We show that the NP-Complete language 3SAT has a PCP verifier that makes two queries to a proof of almost-linear size and achieves sub-constant probability of error o(1). The ver...
We show that the combinatorial complexity of the union of n infinite cylinders in R3 , having arbitrary radii, is O(n2+ε ), for any ε > 0; the bound is almost tight in the w...
The standard layered drawing convention for trees in which the vertical placement of a node is given by its level in the tree and each node is centered between its children can le...
We show that any k-wise independent probability distribution on {0, 1}n O(m2.22− √ k/10)fools any boolean function computable by an m-clause DNF (or CNF) formula on n variable...