Question: Let G be an edge-weighted connected graph, T a minimum spanning tree of G and T a different spanning tree of G (it might not

Let G be an edge-weighted connected graph, T a minimum spanning tree of G and T a different spanning tree of G (it might not be minimum). Prove by induction that T can be transformed into T by a sequence of edge exchanges such that the weights of the successive spanning trees in this sequence never increases.

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