Question: This is a question about the reweighting strategy. Prove that lifting all weights by minimum weight in the graph won't work for preserving the

This is a question about the reweighting strategy. Prove that lifting all

 

This is a question about the reweighting strategy. Prove that lifting all weights by minimum weight in the graph won't work for preserving the shortest path. Assume w*-min(w(u,v)) for (u,v) in graph G, reweighting by the following formula: (u,v) = w(u,v)+w* for all (u,v) in G. This will not guarantee to preserve the shortest path in the original weighted graph.

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