In our network, the degree of a node captures its level of social wealth: people may try to connect more often to people who already have many connections, either in order to profit from their social wealth or because they are more visible in the network.
if genders differ, then the relation (edge) is established according to the probability of homophily (p); otherwise (with proba-bility (1 − p)) it is rejected and the mentee must restart the process of finding a mentor.