Question 3 - Scale-Free Networks
Mark the correct alternative regarding scale-free networks:
A. The internet can not be described as a scale-free network since there are no hubs as they would disrupt data traffic.
B. The configuration model can generate networks without self-loops and multi-links.
C. The degree-preserving randomization can generate networks from a pre-defined degree sequence, but these networks can have self-loops and multi-links.
D. The science collaboration network can be described as a scale-free network since its degrees follows a power law distribution.
E. None of the above.
Original idea by: Vitoria D. M. Pinho
Interesting question, but I find it ambiguous. Alternative B can be considered true, since the configuration model is a random process and may result in a network with no loops or multi-links, with some small probability perhaps. But it can also considered false, since most of the time, in practice, this does not happen. Alternatives A and C are clearly false, while D is also ambiguous, because there are several collaboration networks, where we may vary the subject, the journals, the time range, etc. And some of them may follow a generalized power law with low degree saturation or high-degree cut-off, which some people will not consider scale-free.
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