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

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Step 1. Let s be any vertex of G. For each vertex

and integer k, 0≤k≤n, compute d_k(s,v), the length of a shortest path of exactly k edges from s to v.

Step 2. Compute

Step 3. Replace each edge weight

by

. Compute shortest distance from s to all vertices with respect to the modified edge weights. Denote these distances by

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