2022-165

Suppose you are analyzing a scale-free network with currently 10000 nodes, degree exponent $\gamma =3.0$, minimum degree of 10 and maximum degree of 1000. However, you know this network is growing over time at a rate of 1000 nodes/year. Assuming that the minimum degree is growing at 10 nodes/year while the degree exponent remains constant, what is currently the rate of change for the largest hub in this network?

(A) 5 nodes/year

(B) 55 nodes/year

(C) 550 nodes/year

(D) 5500 nodes/year

(E) None of the above.

Original idea by: Luan Silveira