Question: Given a graph G and its MST T, we construct a new graph G = G {e} by adding an edge e = (u,v) (suppose

Given a graph G and its MST T, we construct a new graph G = G {e} by adding an edge e = (u,v) (suppose there is no edge between u,v in G). Design an algorithm to find the MST of G with running time O(n), where n is number of nodes in G.

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