Question: You are given a graph G with weights we on edges and the MST T of the graph. Suppose that the weight of an edge

You are given a graph G with weights we on edges

You are given a graph G with weights we on edges and the MST T of the graph. Suppose that the weight of an edge e in the graph increases from w_e to w'_e, with all the other weights remaining the same in this problem, your goal is to design a linear time algorithm to recomputed a new MST. You may assume that all weights in the graph before and after the change are distinct. Describe your algorithm. Give a brief (3-4 line) argument for correctness. Give a brief (1-2 line) argument for bounding the running time of your algorithm

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