The degree distribution of a network has the following functional form:Pk = Cak,Where a < 1 is a constant, and k ≥ 1 is the degree.a.Find out the value of C.b. Find out its probability generating function go(z) in compact form.C. Find out the corresponding generating function g₁(z) for its excess degreedistribution in compact form.d. Find out the probability that a node in this network has zero 2nd neighbors.condition for a such that a giant component is present.e.Find out thef.When 1 -fraction of nodes are randomly removed, find out the criticalvalue of when giant cluster emerges.g. What is the size of the giant cluster if it exists?

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Answered: The degree distribution of a network…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The degree distribution of a network has the following functional form: Pk = Cak, Where a < 1 is a constant, and k ≥ 1 is the degree. a. Find out the value of C. b. Find out its probability generating function go (z) in compact form.