gabriela

 Consider a growing graph, as in the image, modeled using the Linearized Chord Diagram (left graph). A new node, labeled node 4, is added to the network (right graphs) and connects to existing nodes according to the model’s attachment probabilities p . Evaluate the following statements about the probability of connections formed by node 4 to further mark them as true (T) or false (F): I) Node 2 has the highest probability ( p ≈0.4) of being selected by node 4. II) Nodes 2 and 3 have the same probability ( p ≈0.3) of being selected by node 4. III) The probability that node 4 forms a self-loop is equal to the probability that it connects to node 3. IV) Node 1 has the highest probability of being selected by node 4.  Chose the correct alternative: A) F, T, F, T B) T, F, T, F C) F, F, T, T D) T, T, F, T E) None of the above 

Read the following statements to further mark them as true or false: A network under scale-free regime results into a hub and spoke topology and the average distance between nodes <d> remains mainly constant regardless of how much the network grows. The average distance <d> at the critical point of a scale-free network denominated as “alpha”, with k_{min} = 1 and k_{max} = 225 is 4,65. The “richer get richer” phenomenon eventually stops and stabilizes in a rapidly growing scale-free network where <k^{2}> reaches a mathematical ceiling.  Choose the correct answer: A) F, T, T B) F, T, F C) T, F, T D) F, T, T E) None of the above