2021-058

According to the characteristics of the Barabási–Albert (BA) model, analyze the following statements and mark the correct alternative.

1. The Barabási-Albert model captures the fact that, in real networks, nodes arrive one after the other, offering a dynamic description of the evolution of a network. This generates a link competition in which older nodes prevails over younger ones, eventually turning into hubs.
2. The degree distribution is stationary (that is, time-invariant), explaining why networks with a different history, size, and age develop a similar degree distribution.
3. The Barabási-Albert model is a recipe for randomly generating scale-free networks: the network grows by adding new nodes over time, and these new nodes connect to existing nodes in the network with a probability proportional to their degree.
4. In the Barabási-Albert model, each new node has more nodes to link than previous nodes. Consequently, over time, existing nodes compete for links with a growing pool of other nodes.
5. The random network model plays a particularly important role in network science but differs from real networks in two important characteristics: growth and preferential attachment.

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

Original idea by: Andressa Cristina dos Santos