Consider the following model to grow simple networks. At time t = 1 the network isformed by no = 3 nodes and mo= 1 link. At each time step t> 1 a new node is addedto the network. The node arrives together with 3 new links, which are connected to 3different nodes already present in the network. The probability II, that a new link isconnected to node j is:II;=kZwhere k; indicates the degree of node j, a € [0,1] and Z = 1k. Assume that fort>1 we can approximate Z as ZCt where C is a time-independent constant.(a) What is the total number of links in the network at time t? What is the totalnumber of nodes?(b) What is the average degree (k) of the network at time t? What is the averagedegree in the limit t∞?

Answered: Image /qna-images/answer/7e910864-d43b-4ce2-b59b-699422cf71aa.jpg

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

Problem 1RQ

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