Recall the Erdős-Rényi random graph from Assignment A graph consists of a set of vertices V and a set of edges E which connect the vertices together. Suppose we create a random graph (known as the Erdős-Rényi random graph) as follows: Start with n vertices V1, and then for each (i,j) where 1 ≤ i < j ≤ n, connect (u,v) with probability independently for each (i,j). A degree of a vertex is the number of edges incident to it. Calculate the joint pmf of the degree of v1 and the degree of v2.
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