Question: 3 . Consider all weighted, undirected, connected graphs where the edge weights are distinct ( i . e . , there is a unique MST

3. Consider all weighted, undirected, connected graphs where the edge weights are distinct (i.e., there is a unique MST) and every vertex has degree at least 2.
(a) Does the minimum spanning tree of every such graph always contain the lightest edge? Why or why not?
(b) Is there such a graph whose minimum spanning tree contains the heaviest edge? Why or why not?
3 . Consider all weighted, undirected, connected

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