4. Hamilton Paths and Trees (a) Consider the graph (i) Does the graph have a Hamilton cycle? Justify your answer. (ii) Does the graph have a Hamilton path? Justify your answer. (b) Let T be a tree that is not a path, has n 27 vertices, and at least 3 vertices of degree 3. Show that the number of vertices of degree 2 is at most n – 7.

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A:

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A: The detailed solution is as follows below:

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