Question: In Exercises 14-15, decide if the statement is true or false. If the statement is true, prove it; otherwise, give a counterexample. In each exercise,

In Exercises 14-15, decide if the statement is true or false. If the statement is true, prove it; otherwise, give a counterexample. In each exercise, G is a connected, weighted graph. 14. If all the weights in G are distinct, then distinct spanning trees of G have distinct weights. 15. If e is an edge in G whose weight is less than the weight of every other edge, e is in every minimal spanning tree of G.

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