One of the long-standing open questions in the theory of parallel computation is the parallel complexity of the integer gcd and related problems, such as modular inversion. We pres...
We consider the problem of learning a matching (i.e., a graph in which all vertices have degree 0 or 1) in a model where the only allowed operation is to query whether a set of ve...
Noga Alon, Richard Beigel, Simon Kasif, Steven Rud...
We show that the size of the smallest depth-two N-superconcentrator is (N log2 N/ log log N). Before this work, optimal bounds were known for all depths except two. For the upper b...
An independent set of variables is one in which no two variables occur in the same clause in a given k-SAT instance. Recently, independent sets have obtained more attention. Due t...
This paper presents several advances in the understanding of dynamic data structures in the bit-probe model: – We improve the lower bound record for dynamic language membership p...