2021-065

Consider a scale-free telecommunication network with $N={10}^4$ nodes, with degrees ranging from 2 to 400.  This network is under a failure process, closely following the branching model. Which of the alternatives below display power-law exponents compatible with these data?

1. Degree distribution exponent $\gamma =2.43$ and avalanche exponent $\alpha =1.7$
2. Degree distribution exponent $\gamma =2.738$ and avalanche exponent $\alpha =1.575$
3. Degree distribution exponent $\gamma =3$ and avalanche exponent $\alpha =1.5$
4. Degree distribution exponent $\gamma =3.1$ and avalanche exponent $\alpha =1.5$
5. None of the above

Original idea by: Matheus Cerqueira