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arXiv · 1811.05337

Analytical Formulation of the Block-Constrained Configuration Model

Giona Casiraghi
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Abstract

We provide a novel family of generative block-models for random graphs that naturally incorporates degree distributions: the block-constrained configuration model. Block-constrained configuration models build on the generalised hypergeometric ensemble of random graphs and extend the well-known configuration model by enforcing block-constraints on the edge generation process. The resulting models are analytically tractable and practical to fit even to large networks. These models provide a new, flexible tool for the study of community structure and for network science in general, where modelling networks with heterogeneous degree distributions is of central importance.

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BibTeXRIS

Giona Casiraghi. 2018-11-12. Analytical Formulation of the Block-Constrained Configuration Model. https://doi.org/10.1007/s41109-019-0241-1

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