1. In the Giant Component model, the probability of any two nodes getting connected to each other is the same. Can you think of ways to make some nodes more attractive to connect to than others? How would that affect the formation of the giant component?
2. Another model in the Networks section of the models library is the Small Worlds model ( Wilensky, 2005a ). That model is initialized with a set of nodes connected in a special circular network. Can you find another initial network to start with that can be easily modified to be small world?