A disperser is a one-sided extractor. Where an extractor requires that every event gets the same probability under the uniform distribution

Definition (Disperser): A-disperser is a function

such that for every distribution on with the support of the distribution is of size at least.

Graph theory

An (N, M, D, K, e)-disperser is a bipartite graph with N vertices on the left side, each with degree D, and M vertices on the right side, such that every subset of K vertices on the left side is connected to more than (1e)M vertices on the right.

An extractor is a related type of graph that guarantees an even stronger property; every (N, M, D, K, e)-extractor is also an (N, M, D, K, e)-disperser.

Other meanings

A disperser is a high-speed mixing device used to disperse or dissolve pigments and other solids into a liquid.

See also

• Expander graph

References