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Mathematics, 30.10.2019 00:31 zayy8595

Consider a network model in which edges are placed independently between each pair of vertices i, j with probability pij = kfifj , where k is a constant and fi is a number assigned to vertex i. show that the expected degree ci of vertex i in this model is proportional to fi and hence that the only possible choice of edge probability with this form is pij = cicj/2m, as in the chung-lu model.

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