Robustness of Scale-free Networks - Science Collaboration

Suppose that the COVID-19 virus suffers a strange mutation, and now it is extremely mortal only to scientific researchers. Taking into consideration the Science Collaboration network, it will break apart into many isolated sub-graphs of researchers, after the death of how many scientists?

Additional data about the network:

  • Nodes ($N$): 23,133
  • $<k>$ (Average degree distribution of the network): 8.08
  • $<k^{2}>$ (Variance of the degree distribution): 178.2

Hint: Round the number of dead scientists up.


A. 19,136

B. 22,035

C. 7,937

D. 15,498

E. None of the above.


Original idea by: Felipe Crispim da Rocha Salvagnini

Comentários

  1. Joao Meidanis22 de julho de 2022 às 17:27

    COVID=19 infections are not completely random. In fact, one can argue that an infected scientist will pass the virus to collaborators with larger probability than to non-collaborators. Therefore, we models studied in class are not appropriate here.

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