New nodes are added to the network one at a time. Each new node is connected to <math>m \le m_0</math> existing nodes with a probability that is proportional to the number of links that the existing nodes already have. Formally, the probability <math>p_i</math> that the new node is connected to node <math>i</math> is | New nodes are added to the network one at a time. Each new node is connected to <math>m \le m_0</math> existing nodes with a probability that is proportional to the number of links that the existing nodes already have. Formally, the probability <math>p_i</math> that the new node is connected to node <math>i</math> is |