Geodesic
Poisson convergence of numbers of vertices of a given degree in random graphs
Discussiones Mathematicae. Graph Theory, Tome 16 (1996) no. 2, pp. 157-172

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The asymptotic distributions of the number of vertices of a given degree in random graphs, where the probabilities of edges may not be the same, are given. Using the method of Poisson convergence, distributions in a general and particular cases (complete, almost regular and bipartite graphs) are obtained.
Keywords: Random graphs, degrees of vertices, Poisson convergence 
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     author = {Kordecki, Wojciech},
     title = {Poisson convergence of numbers of vertices of a given degree in random graphs},
     journal = {Discussiones Mathematicae. Graph Theory},
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Kordecki, Wojciech. Poisson convergence of numbers of vertices of a given degree in random graphs. Discussiones Mathematicae. Graph Theory, Tome 16 (1996) no. 2, pp. 157-172. http://geodesic.mathdoc.fr/item/DMGT_1996_16_2_a6/