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

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Step 4. Replace each edge weight

by

Find a cycle in the reweighted graph all of whose edges have exactly zero weight.

Note: Among other things, you need to prove that there are no negative-weight cycles with respect to

so that shortest paths exist in Step 3, and that some cycle with zero weight edges exists in Step 4.

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