Published online by Cambridge University Press: 23 September 2025
This appendix provides a comprehensive overview of statistical network models, building from fundamental concepts to advanced frameworks. It begins with essential mathematical background and probability theory, then introduces the foundations of random network models. The appendix covers a range of models, including Erdös-Rényi, stochastic block models (both a priori and a posteriori), random dot product graphs, and their generalizations. Each model is presented with its parameters, generative process, probability calculations, and equivalence classes. The appendix also explores degree-corrected variants and the Inhomogeneous Erdös-Rényi model. Throughout, we emphasize the relationships between models and their increasing complexity, providing a solid theoretical foundation for understanding network structures and dynamics.
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