Question: For an undirected, connected graph G = (V, E) with weights w(e) > 0, you are given a MST, T. Unfortunately one of the edges

For an undirected, connected graph G = (V, E) with weights w(e) > 0, you are given a MST, T. Unfortunately one of the edges e=(u, v) which is in the MST T is deleted from the graph G (no other edges change). Give an algorithm to build a MST for the new graph. Note: G is connected, and G e is also connected. Your algorithm should be correct and faster in O() than building a MST from scratch (so using Prims or Kruskals will receive little credit).

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