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- Prove: For any graph r with six vertices ror r complementary contains C3Prove that if v0 and v1 are distinct vertices of a graph G = (V,E) and a path exists in G from v0 to v1 , then there is a simple path in G from v0 to v1 .Let H be any graph, and let H’ be the graph with V(H’) = V(H) U {v} for some vertex v not in V(H), and E(H’) = E(H). For each positive integer n and graph H, find ex(n, H’) in terms of ex(n, H).