Question: Let G = (V,E) be a directed graph with positive costs, i.e. c e 0 for every e E. The following is true for every

Let G = (V,E) be a directed graph with positive costs, i.e. c_e 0 for every e E. The following is true for every real number ce 0 for every e E. The following is true for every > 0. Consider the instance where the input graph is still G but the costs are now real number > 0. Consider the instance where the input graph is (for every e E). Then for some distinct s,t for some distinct s,t V, the shortest s-t path in the two V, the shortest s-t path in the two instances are different.

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