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In graph theory, a Score complete graph G has an edge from every node to every other node. But, a transition graph TG is complete

In graph theory, a Score complete graph G has an edge from every node to every other node. But, a transition graph TG is complete only if there is an edge from every node to every node. Let |V| = n be the number of nodes in a graph. Prove that |E|=(2n) for a complete graph G. Prove that |E|= n2 for a complete transition graph TG.

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