Question: Let G be a connected undirected weighted graph with distinct weights on the edges. Let M be unique minimum spanning tree of G and let

 Let G be a connected undirected weighted graph with distinct weights

Let G be a connected undirected weighted graph with distinct weights on the edges. Let M be unique minimum spanning tree of G and let C be any cycle in G. Prove or disprove the following statements. (a) The maximum weight edge in C cannot be present in M. (b) The minimum weight edge in C must be present in M

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