Geodesic
On the limit distributions of the vertex degrees of conditional Internet graphs
Diskretnaya Matematika, Tome 21 (2009) no. 3, pp. 14-23

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We consider the random graphs modelling the structure of large data transmission networks including Internet. We investigate the subset of such graphs consisting of $N$ vertices under the condition that the number of edges is equal to $n$. We obtain the limit distributions of the maximum degree of vertices and the number of vertices of a given degree as $N,n\to\infty$ so that $n/N\to\lambda$, where $\lambda$ is a positive constant. 
@article{DM_2009_21_3_a1,
     author = {Yu. L. Pavlov},
     title = {On the limit distributions of the vertex degrees of conditional {Internet} graphs},
     journal = {Diskretnaya Matematika},
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     publisher = {mathdoc},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2009_21_3_a1/}
}
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Yu. L. Pavlov. On the limit distributions of the vertex degrees of conditional Internet graphs. Diskretnaya Matematika, Tome 21 (2009) no. 3, pp. 14-23. http://geodesic.mathdoc.fr/item/DM_2009_21_3_a1/