Question 5

Consider a network composed of N nodes and E edges called Network A. Network B and Network C were created based on Network A, using the same set of nodes and keeping the same degree distribution, but changing the set of edges. The networks show the following properties:

  • In Network A, hubs connect predominantly to other hubs;
  • In Network B, hubs connect predominantly to low-degree nodes;
  • In Network C, links are placed randomly with respect to node degree.

    • You measured the average nearest-neighbor degree function knn(k) for each network. Which alternative below best describes the behavior of knn(k)?

    a) Network A: decreasing with k
        Network B: increasing with k
        Network C: strongly increasing with k

    b) Network A: approximately constant
        Network B: approximately constant
        Network C: decreasing with k

    c) Network A: increasing with k
        Network B: decreasing with k
        Network C: approximately constant

    d) Network A: increasing with k
        Network B: approximately constant
        Network C: decreasing with k

    e) None of the above.

    Original idea by George Gigilas Junior

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