Abstract

A synchronized parallel algorithm for finding maximum flow in a directed flow network is presented. Its depth is O( n 3 ( log n) p) , where p ( p ≤ n) is the number of processors used. This problem seems to be more involved than most of the problems for which efficient parallel algorithms exist. The parallel algorithm induces a new rather simple sequential O( n 3) algorithm. This algorithm is very much parallel oriented. It is quite difficult to conceive and analyze it, if one is restricted to the sequential point of view.

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