Question 4 - Barabasi-Albert model

Question: Barabási- Albert model presents growth and preferential attachment. This raises two important questions are they really necessary? What happends in they absence?

I. They are not necessary. In their abscence nothing new happens.

II. They are not necessary. In the abscence of preferential attachment he model is forced to converge to a complete graph, fully connected and in the abscence of growth hubs are not present anymore, eliminating the scale-free characteristic. Those characteristicis are completely normal for this model.

III. They are necessary. In the abscence of preferential attachment he model is forced to converge to a complete graph, fully connected and in the abscence of growth hubs are not present anymore, eliminating the scale-free characteristic,

IV. They are necessary. In the abscence of preferential attachment hubs are not present anymore, eliminating the scale-free characteristic, and in the abscence of growth the model is forced to converge to a complete graph, fully connected.

Answer:

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