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 k α , an exponent α > 1 results in a more 'democratic' network, where the degree diff...