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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
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Graph Theory Question - Internet Backbone Topology

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Living in a highly digitally connected world nowadays requires the availability of an internet connection. Furthermore, it must be stable and provide low latency. It holds more true for critical applications, like systems that interface with stock markets. The availability of internet backbones plays a crucial role in the achievement of the former statements.  The figure below shows an example of an internet backbone topology represented as a graph connecting some Brazilian cities. Please, select the answer that better describe Sao Paulo (SP) node: a) São Paulo is the node with the highest degree (10); The Clustering Coefficient of São Paulo is 16/7. b) Sao Paulo is not the node with the highest degree; The Clustering Coefficient of São Paulo is 16/45. c) Sao Paulo is the node with the highest degree (10); The Clustering Coefficient of São Paulo is 16/45. d) Sao Paulo is the node with the highest degree (7); The Clustering Coefficient of São Paulo is 16/28. e) S...
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