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Graph Theory . While it has been proved that any tree with n vertices must have...

Graph Theory

.

While it has been proved that any tree with n vertices must have n − 1 edges. Here, you will prove the converse of this statement. Prove that if G = (V, E) is a connected graph such that |E| = |V | − 1, then G is a tree.

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To show that graph G is a tree

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