Article,

Random graphs as models of networks

.
(2005)
DOI: 10.1002/3527602755.ch2

Abstract

* Introduction * Random graphs with specified degree distributions * Probability generating functions Properties of generating functionsExamples * Properties of undirected graphs Distribution of component sizesMean component sizeAbove the phase transition * Properties of directed graphs Generating functionsResults * Networks with clustering * Models defined on random graphs Network resilienceEpidemiologyThe SIR modelSolution of the SIR model * Summary * References

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