About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Paper
Generating pseudo-random permutations and maximum flow algorithms
Abstract
We describe a simple construction of a family of permutations with a certain pseudo-random property. Such a family can be used to derandomize a recent randomized maximum-flow algorithm of Cheriyan and Hagerup for all relatively dense networks. Hence this supplies a deterministic maximum-flow algorithm that works, on a network with n vertices and m edges, in time O(nm) for all m=Ω(n5/3 log n) (and in time O(nm log n) for all other values of n and m). This improves the running time of the best known deterministic maximum-flow algorithm, due to Goldberg and Tarjan, whose running time is O(nm log(n2/m)). © 1990.