Gabriel Talasso

Consider two random graphs, G_a and G_b, where edges are created independently with probabilities p_a and p_b, respectively. Additionally, consider the following binomial degree distribution:   Consider:  N_a = 200 and  N_b = 100  Evaluate the following statements: I) The average degree <k> is higher in graph G_b.   II) The variance of the degree distribution in G_b  is greater than in G_a .   III) The expected number of edges in G_a is greater than in G_b.   Select the correct alternative: A) Only I is correct.   B) Only I and II are correct.   C) Only II and III are correct.   D) I, II, and III are correct.  E) None of the above. Original idea by: Gabriel Ukstin Talasso

 Based on these two adjacency matrices, A and B, analyze the following statements: I) Graph A is directed and graph B is undirected. II) Graph A is strongly connected and graph B is disconnected. III) The diameter of graph A is 3 and the diameter of graph B is 2. IV) The average degree of B is 2. Select the correct alternative: A) Only I and III are true. B) Only I and II are true. C) Only I and IV are true. D) Only I is true. E) None of the above. Original idea by: Gabriel Talasso