2023-204

Considering the Gilbert model , which statements from the following list are correct?

1. The expected number of links in a network generated with this model is \( \frac{pN(N-1)}{2} \)
2. If \( p > \frac{\ln N}{N} \) this model always generates a fully connected network with 100% certainty
3. This model produces a degree distribution that follows a Poisson distribution, which can be approximated by binomial distribution when \( N \) is much larger than \( k \)
4. A complete network can be generated from this model when \( p > 0 \), even if this is not likely

1. I and III
2. II, III and IV
3. I, II and IV
4. I and IV
5. None of above

Original idea by: Anderson Nogueira Cotrim