Question Chaper 5

 

Analyze the following statements about the mechanisms and consequences of the Barabási-Albert (BA) model and its derivatives.

I. In the standard BA model, the degree distribution exponent (γ) converges to γ=3. This value is a fundamental property of the model, being independent of the parameter m 

II. The 'first-mover advantage' is an absolute principle in the BA model, guaranteeing that the initial nodes in the network will invariably become the hubs with the highest degree, since the time spent in the network is the sole determining factor for the accumulation of connections.

III. Preferential attachment, by itself, is a sufficient mechanism to generate a scale-free network with a power-law degree distribution, even in a network with a fixed number of nodes.

IV. In models with non-linear preferential attachment, where the probability of attachment scales with the degree as kα, an exponent  results in a more 'democratic' network, where the degree difference between hubs and smaller nodes is attenuated.

V. The specific topology of the initial seed network (m0​) is a critical factor that determines the degree distribution exponent (γ) of the final network, as it defines the initial conditions for the preferential attachment process.

Select the alternative that presents the correct sequence of True (T) and False (F).

A)  T-T-F-F-F

B) F-F-T-T-F 

C) T-F-F-F-F 

D) T-F-T-F-T

E)  None of the above


Original idea: Caio Rhoden


Comentários

  1. Joao Meidanis5 de outubro de 2025 às 17:35

    Questão interesante, faz um review de vários conceitos, mas acaba sendo uma questão fácil.

    ResponderExcluir

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