Degree Correlation - cap 7

 In simple scale-free networks generated by the configuration model, a conflict may arise between the scale-free degree distribution and the absence of multi-links or self-loops. This leads to the concept of the structural cutoff, which determines whether high-degree nodes can connect freely without violating the simple-network constraint.

Which of the following statements correctly describes the consequences of this structural cutoff on degree correlations?

a) When the largest node degree in the network remains below the structural cutoff, the network can preserve its scale-free property, maintaining the network with a neutral structure.

b) If the largest node degree exceeds the structural cutoff, the network cannot realize the expected number of hub–hub connections, leading to an apparent disassortative pattern known as structural disassortativity.

c) In networks where all nodes have degrees smaller than the structural cutoff, a neutral structure emerges naturally from the degree sequence itself.

d) The structural cutoff mainly affects networks with γ>3\gamma > 3, making them increasingly assortative as NN grows.

e) None of the above.


Original idea by: Yan Prada.

Comentários

  1. Joao Meidanis1 de novembro de 2025 às 03:25

    Interesting question. It seems that (A) and (C) say more or less the same thing, which seems correct, but also (B) seems correct, so I guess the intent was to have (B) as the correct answer, because, unlike the others, it discusses the consequences of simple + scale-free in degree correlations. However, I find this a bit too fine-grained, and the average reader will be confused by the fact that 3 out of 4 alternatives are correct.

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