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