Question: MST algorithm 3. (15 pts) Suppose you are given the minimum spanning tree T of a given graph G (with n vertices and m edges)

MST algorithm

MST algorithm 3. (15 pts) Suppose you are given the minimum spanning

3. (15 pts) Suppose you are given the minimum spanning tree T of a given graph G (with n vertices and m edges) and a new edge e - (u, v) of weight w that will be added to G. Give an efficient algorithm to find the MST of the graph G Ue, and prove its correctness. Your algorithm should run in O(n) time

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