Evolving Networks

In real-world networks, nodes can often be removed, such as when research papers are retracted. Based on the node deletion model, which describes the relationship between adding and removing nodes, identify the incorrect statement regarding the behavior of such networks:

a) The network maintains a scale-free characteristic if the number of nodes removed is smaller than the number of new nodes added.

b) If the rate of node removal exceeds one (r > 1), the network will enter a declining phase.

c) The network's degree distribution will shift from scale-free to exponential when the rate of node removal surpasses a critical threshold related to initial attractiveness.

d) The network maintains its scale-free nature if the rate of node removal is equal to the rate of node addition.

e) None of the above.

 Original idea: Matheus C. Lindino

Comentários

  1. Joao Meidanis14 de outubro de 2024 às 16:48

    Nice question, but I see a problem. While most alternatives deal with the node deletion model alone , alternative (c) seems to talk about a mixed model, combining node deletion with initial attractiveness. This can be confusing to readers, so I will discard this question.

    ResponderExcluir

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