Cos 423 Problem Set No. 5-revised Due Wed. April 23, 2003 Spring 2003

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(See CLRS Problem 24-5, page 617.) Let G=(V,E) be a strongly connected directed graph with real-valued edge weightfor each edge e. A minimum mean-weight cycle is a cycle that minimizes the sum of edge weights divided by the number of edges. Prove the correctness of the following algorithm to compute a minimum mean-weight cycle, and show how to implement it to run in time.

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