b. If G is a (not necessarily simple) graph with n vertices where each vertex has degree greater than or equal to (n−1)/2, is the diameter of G necessarily 2 or less? Either prove that the answer to this question is "yes" or give a counterexample.   Part a has already been answered so I only need help with part b. Part a is included for context

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Strongly Connected Components

 A directed graph in which a path exists between all its pairs of vertices is called a strongly connected graph. A portion of the strongly connected directed graph that contains a path to reach from each vertex to other vertices is called a strongly connected component (SCC).