Consider a graph having n vertices labeled1, 2, . . . , n,

Chapter 7, Problem 7.47

(choose chapter or problem)

Consider a graph having n vertices labeled1, 2, . . . , n, and suppose that, between each of then2pairs of distinct vertices, an edge is independentlypresent with probability p. The degree ofvertex i, designated as Di, is the number of edgesthat have vertex i as one of their vertices.(a) What is the distribution of Di?(b) Find (Di,Dj), the correlation between Diand Dj.

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