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arXiv · 2204.05881

A note on the distribution of the extreme degrees of a random graph via the Stein-Chen method

Yaakov Malinovsky
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Abstract

We offer an alternative proof, using the Stein-Chen method, of Bollobás' theorem concerning the distribution of the extreme degrees of a random graph. Our proof also provides a rate of convergence of the extreme degree to its asymptotic distribution. The same method also applies in a more general setting where the probability of every pair of vertices being connected by edges depends on the number of vertices.

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Yaakov Malinovsky. 2023-11-17. A note on the distribution of the extreme degrees of a random graph via the Stein-Chen method. https://arxiv.org/abs/2204.05881

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