Consider a real scale-free network of cellular signaling where the nodes are proteins and the links are interactions between them. Mark the INCORRECT alternative about this network.

a) This network is finite.

b) This network has a degree distribution with a power-law tail.

c) This network will likely exhibit scale-free behaviour, meaning there is no characteristic scale for fluctuations.

d) In this network, most proteins will show high connectivity and can be considered hubs.

e) None of the above.

Based on what has been presented about random graphs in class, correctly identify whether each statement is True (T) or False (F).

1. There is no network in nature that we know of that would be described by the random network model.

2. Edges are independent and have the same probability p. 

3. The clustering coefficient of random graphs is small.

4. The study of random graphs is NOT useful to understand real systems. 

5. Random graphs can develop a giant connected component once the edge probability passes a critical threshold.

a) F  V  V  F  V 

b) V  V  V  F  F

c) V  V  V  F  V

d) V  F  F  V  F

e) None of the above