Explain how Erdős and Rényi first used the probabilistic method... | Filo
Explain how Erdős and Rényi first used the probabilistic method... | …
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Degree distribution2 points possible (graded)Consider node j in an Erdos-Renyi model G(n, p). Potentially, it could be connected through edges to up to n - 1 othernodes, where the presence of each edge is distributed according to Binomial(1, p). Thus, the degree, kj, of node j is thesum of n - 1 random variables distributed according to Binomial(1, p). Therefore, kj ∼ Binomial(n - 1, p).It follows that the expected value of the degree isE[kj] = p(n - 1).Let K = ∑j=1^n kj be the sum of all node d
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