2022-110

Consider the following statements about the Barabási-Albert model.

1. The degree exponent is dependent of m.
2. Growth and preferential attachment are simultaneously needed for the emergence of the scale-free property.
3. When deriving the degree distribution, we assume that, at any moment, the total number of nodes equals the number of timesteps, that is, \( N(t) = t \).
4. If a new node has a choice between a degree-two and a degree-four node, it is twice as likely that it connects to the degree-four node.

Select the correct alternative.

1. Only statements I and IV are true.
2. Only statements I, II and III are true.
3. Only statements II, III and IV are true.
4. Only statements II and IV are true.
5. None of the above.

Original idea by: Diogo Souza