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Question b only Consider the following model to grow simple networks. At time t = 1 we start with a complete network with n 0
Question b only Consider the following model to grow simple networks. At time we start with a complete network with nodes. At each time step a new node is added to the network. The node arrives together with new links, which are connected to different nodes already present in the network. The probability that a new link is connected to node is:
with
where is the degree of node and is the number of nodes in the network at time
a Find an expression for the number of nodes, and the number of links, in the network as a function of time Find an expression for the value of as a function of time
b What is the average node degree :: at time What is the average node degree in the limit
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