2021-033

Consider networks A and B shown in the figures below. In both networks, the three most connected hubs are shown with red nodes.

The networks possess the following characteristics:

• Number of nodes: 32
• Average degree: 2.375
• The average degrees of the neighborhood of each red node in both graphs are:
  • Network A: { 1.5 , 1.4 , 1.5 }
  • Network B: { 3.5 , 2.8 , 3.5 }
• The degree correlation coefficient (Pearson correlation coefficient) for both networks is a negative value.

Which alternative is compatible with the information given above?

1. Network A is assortative and Network B is neutral
2. Network A is disassortative and its degree correlation coefficient is larger than network B's
3. Network B has a larger degree correlation coefficient than network A.
4. Both networks are assortative.
5. None of the above

Original idea by:‌ Soroor Salavati