Question: Let G = (V, E) be a connected undirected graph with positive edge weights. Assume that all edge weights are distinct. For any edge e

Let G = (V, E) be a connected undirected graph with positive edge weights. Assume that all edge weights are distinct. For any edge e E, let T(e) denote the spanning tree of G that has minimum cost among all spanning trees of G that contain e. Design an efficient algorithm that takes as input the graph G and an edge e E and outputs T(e). The running time of your algorithm should be O(m log n).

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