Consider the following model to grow simple networks. At time t = 1 we start with acomplete network with no = 6 nodes. At each time step t> 1 a new node is added tothe network. The node arrives together with m = 2 new links, which are connected tom = 2 different nodes already present in the network. The probability II, that a newlink is connected to node i is:N(t-1)II₁=ki - 1Z==with Z = (k; -1)j=1where k; is the degree of node i, and N(t - 1) is the number of nodes in the network attimet - 1.(e) Write down the master equation of the model, i.e. the equation that describes theevolution of the average number N(t) of nodes that at time t have degree k.

Solution To write down the master equation for the evolution of the average number Nx(t) of nodes…

Answered: Consider the following model to grow…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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