Let G be a simple graph with n vertices. Show thata) G is
Chapter , Problem 15E(choose chapter or problem)
Let G be a simple graph with n vertices. Show thata) 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. [Hint: To show that G is connected if it has no simple circuits and n ? 1 edges, show that G cannot have more than one connected component.]
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