Question: Let G be an edge-weighted connected graph. For a spanning tree T of G we denote by m(T) = max w(e) (eE(T) )the maximum weight

Let G be an edge-weighted connected graph. For a spanning tree T of G we denote by m(T) = max w(e) (eE(T) )the maximum weight of an edge in T. Let xG be the minimum of m(T) over all spanning trees T of G. Prove that if T is a minimum spanning tree of G, then m(T) = xG. Give an example to show the converse is false

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