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Past exam of the mathematics course of the University of Cambridge / 2024 / ia / Paper 2 / 12F / i / Solution

The degree of

v_{i}

counts the

n - 1

incident edges, each present independently with probability

p

. Thus in the Erdős-Rényi model,

de g (v_{i}) \sim Binomial (n - 1, p) .

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