# Random graphs with arbitrary degree distributions and their applications.

@article{Newman2000RandomGW, title={Random graphs with arbitrary degree distributions and their applications.}, author={Mark E. J. Newman and Steven H. Strogatz and Duncan J. Watts}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2000}, volume={64 2 Pt 2}, pages={ 026118 } }

Recent work on the structure of social networks and the internet has focused attention on graphs with distributions of vertex degree that are significantly different from the Poisson degree distributions that have been widely studied in the past. In this paper we develop in detail the theory of random graphs with arbitrary degree distributions. In addition to simple undirected, unipartite graphs, we examine the properties of directed and bipartite graphs. Among other results, we derive exact…

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