Let G(V, E) be a weighted undirected graph. Let the value of a
spanning tree be the minimum
weight of the edges. Let the cap from a cut [S, V - S] (i.e, the set
of undirected edges that
connect a node in S to a node in the remaining set V -S) be the
maximum weight of its edges.
Prove that the maximum value of a spanning tree of G equals the
minimum cap of a cut in G ?

How to model his problem to a network flow problem, any hints
thanks in advance!!

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