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Random network

Which of the following statements regarding random networks is true? I. Real networks follow the same properties as random networks. II. The exact degree of distribution of a random network is calculated by the binomial distribution. The binomial distribution depends only on one parameter, <k>. III. An approximate way to calculate the degree of distribution of a random network is through the Poisson distribution. To make this approximation, the value of N must be large and the value of the probability p must be small. IV. The Poisson distribution depends only on one parameter <k>, while the Binomial distribution depends on p and N. A. All of the above B. II and III C. III and IV D. III E. None of the above Original idea by: Caroline Nakazato
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Network Robustness

Which statement about robust networks is incorrect? The  Molloy-Reed criterion , stating that a randomly wired network has a giant component if  κ < 2. κ = ⟨ k 2 ⟩ k > 2 During an attack we aim to inflict maximum damage on a network. We can do this by removing first the highest degree node, followed by the next highest degree, and so on. Scale-free networks are robust to random failures, but not robust to attacks. The power-law distribution followed by blackouts, information cascades and earthquakes indicates that most cascading failures are relatively small. None of the above Original idea by:  Caroline Nakazato 
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Scale free network

 In a scale-free network with the number of nodes N = 1296, the maximum degree in the network is 144, and the degree exponent is y = 3. What is the minimum degree in the network? A) 108 B) 127 C) 81 D) 36 E) None of the above. Original idea by: Caroline Nakazato.
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