Question: 2. (5 marks) Let G = (V, E) be a graph with rational-valued edge weights (Ce : e E E). (The edge weights may include

2. (5 marks) Let G = (V, E) be a graph with rational-valued edge weights (Ce : e E E). (The edge weights may include negative numbers.) For any S E V such that (ll 75 8 7E V, let 6(8) = {e E E : 6 has exactly one end in S}. Formulate an integer- programming model to nd (3 7E S 79 V that minimizes 22(0e : e 6 6(3)). The number of variables and constraints in your model must be at most a|V| + b|E| + c for some constants a, b, c (the values of a, b, 6 cannot depend on the values of |V| and |E|)

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