Question: Problem 3. Show a minimum spanning tree T of a graph G shown below. Suppose that a new edge (a, c) of weight r is

Problem 3. Show a minimum spanning tree T of a graph

Problem 3. Show a minimum spanning tree T of a graph G shown below. Suppose that a new edge (a, c) of weight r is added to G. (a) Determine for which values of r T is still an MST of G. Argue why. (b) Find a new MST of G for all other values of x. Explain the difference between T and the new MST(s) 2 2

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