Provide proof of one of the following by showing a graph in which there is a vertex v which proofs the Theorem

a) Theorem 1: A vertex that maximizes betweenness centrality does not necessarily maximize stress centrality. b) Theorem 2: A vertex that maximizes stress centrality does not necessarily maximize betweenness centrality. c) Theorem 3: A vertex may simultaneously maximize both stress centrality and betweenness centrality.