We show that linear probing requires 5-independent hash functions for expected constant-time performance, matching an upper bound of [Pagh et al. STOC’07]. For (1 + ε)-approxima...
Abstract. In the framework of Carter and Wegman, a k-independent hash function maps any k keys independently. It is known that 5independent hashing provides good expected performan...
Cographs are those graphs without induced path on four vertices. A graph G is a probe cograph if its vertex set can be partitioned into two sets, N (non-probes) and P (probes) wher...
We consider the problem of randomness extraction from independent sources. We construct an extractor that can extract from a constant number of independent sources of length n, ea...