Karla MO412 Quiz

Considering how the scaling regimes characterizing the nonlinear Barabási-Albert model. Analyze the following statements, for a starting network with 1 node: I. Approximately 2980 nodes need to be added to the network, to achieve k ₘ ₐ ₓ = 64, in case of a = 0,5. II. Approximately 100 nodes need to be added to the network, to achieve  k ₘ ₐ ₓ  = 10, in case of  a  = 1,5. III. Approximately 250000 nodes need to be added  to the network, to achieve  k ₘ ₐ ₓ  = 500, in case of  a  = 1. IV. Approximately 800 nodes need to be added to the network, to achieve  k ₘ ₐ ₓ  = 800, in case of  a  = 0,5. A. I and III are correct. B. I, II, and III are correct. C.  II and IV are correct. D.  II, III and IV are correct. E. None of the above. Original idea by: Karla Florentino

Consider a scale-free network with 5,000 nodes and a degree exponent γ = 3. Knowing that the probability of finding a node with degree k decreases as  k increases. What is the approximate percentage of nodes with a degree of 3 or more? And 15 or more? A. 25% and 5%,  respectively. B. 5% and 0%,  respectively. C. 40% and 2%,  respectively. D. 14% and 3%,  respectively. E. None of the above. Original idea by: Karla Florentino