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