What is the maximum number of edges in a directed graph on n vertices? Explain how you arrived at your solution.

What will be an ideal response?


A complete graph on n vertices has n(n-1)/2 edges. This is the maximum number of edges that an undirected
graph can have. For a directed graph, it is possible to have 2 edges for each pair of vertices, and therefore we multiply the
maximum number of edges in an undirected graph by 2. The result is n(n-1).

Computer Science & Information Technology

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