5. Suppose we have a network with two types of people, Wolverines and Buckeyes. Links are formed via a stochastic block model, with pw, PB, q € (0,1), where pw>q and pB > q. The number of Wolverines and Buckeyes is nw and ng, respectively. (a) Explain why this model generates clustering. Distinguish a taste for triadic closure from homophily as explanations. Which one does this model allow for? (b) Suppose that nw = 60 and nB = 40. In a couple sentences, explain why you would expect higher clustering coefficients among Wolverines than among Buckeyes. (c) (Harder) Suppose that you draw a random Wolverine who has two friends? Express his expected clustering coefficient, as a function of pw and q?

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5. Suppose we have a network with two types of people, Wolverines and Buckeyes. Links are
formed via a stochastic block model, with pw, PB, q € (0, 1), where pw>q and p > q. The
number of Wolverines and Buckeyes is nw and ng, respectively.
(a) Explain why this model generates clustering. Distinguish a taste for triadic closure from
homophily as explanations. Which one does this model allow for?
(b) Suppose that nw = 60 and ng = 40. In a couple sentences, explain why you would
expect higher clustering coefficients among Wolverines than among Buckeyes.
(c) (Harder) Suppose that you draw a random Wolverine who has two friends? Express his
expected clustering coefficient, as a function of pw and q?
Transcribed Image Text:5. Suppose we have a network with two types of people, Wolverines and Buckeyes. Links are formed via a stochastic block model, with pw, PB, q € (0, 1), where pw>q and p > q. The number of Wolverines and Buckeyes is nw and ng, respectively. (a) Explain why this model generates clustering. Distinguish a taste for triadic closure from homophily as explanations. Which one does this model allow for? (b) Suppose that nw = 60 and ng = 40. In a couple sentences, explain why you would expect higher clustering coefficients among Wolverines than among Buckeyes. (c) (Harder) Suppose that you draw a random Wolverine who has two friends? Express his expected clustering coefficient, as a function of pw and q?
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