VitoriaDMP - MO412 - 2023-1s

Consider the following graph. According to the Linearized Chord Diagram, what are the probabilities that a new node is added to each of the nodes? Consider the normalization constant as 13. A. N1: p =  1/25, N2: p = 4/25, N3: p = 3/25, N4: p = 2/25, N5: p = 1/25, N6: p = 1/25 B. N1: p =  1/13, N2: p = 4/13, N3: p = 3/13, N4: p = 2/13, N5: p = 1/13, , N6: p = 1/13 C.  N1: p =  1/25, N2: p = 4/13, N3: p = 3/13, N4: p = 2/13, N5: p = 1/25, N6: p = 1/25 D. N1: p =  1/3, N2: p = 4/9, N3: p = 3/7, N4: p = 2/5, N5: p = 1/3, N6: p = 1/3 E. None of the above.  Original idea by: Vitoria D. M. Pinho 

Mark the correct alternative regarding scale-free networks: A. The internet can not be described as a scale-free network since there are no hubs as they would disrupt data traffic. B. The configuration model can generate networks without self-loops and multi-links. C. The degree-preserving randomization can generate networks from a pre-defined degree sequence, but these networks can have self-loops and multi-links. D. The science collaboration network can be described as a scale-free network since its degrees follows a power law distribution. E. None of the above.  Original idea by: Vitoria D. M. Pinho