Consider the following growing network model in which each node i isassigned an attractiveness a € N+ drawn from a distribution (a).Let N(t) denote the total number of nodes at time t.At time t = 1 the network is formed by two nodes joined by a link.At every time step a new node joins the network. Every new node hasinitially a single link that connects it to the rest of the network.- At every time step t the link of the new node is attached to an existingnode i of the network chosen with probability II; given bywhereII₁ =ᏃZ =Σ aj.j=1,...,N(t-1)Provide the mean-field solution of the model by considering thefollowing two points.(B) Assume that7(a) = {1 for a 1,0 for a 1,=and that Zāt.Derive the degree distribution P(k) of the network for large times, i.e.t>1, in the mean-field approximation.

The growing network model described here is a variation of the preferential attachment model, where…

Answered: (B) Assume that (a) = { 1 for a 1, 0…

Computer Networking: A Top-Down Approach (7th Edition)

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Chapter1: Computer Networks And The Internet

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(B) Assume that (a) = { 1 for a 1, 0 for a 1, and that Zāt. Derive the degree distribution P(k) of the network for large times, i.e. t>1, in the mean-field approximation.