Question: Let G be a simple graph with n vertices. Show that a) G is a tree if and only if it is connected and has

Let G be a simple graph with n vertices. Show that
a) G is a tree if and only if it is connected and has n - 1 edges.
b) G is a tree if and only if G has no simple circuits and has n − 1 edges.

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a We will prove this statement using mathematical induction on n the number of vertices of G This exercise can also be done by using Exercise 14 and T... View full answer

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