Analytical Formulation of the Block-Constrained Configuration Model [article]

Giona Casiraghi
2018 arXiv   pre-print
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,
more » ... lexible tool for the study of community structure and for network science in general, where modelling networks with heterogeneous degree distributions is of central importance.
arXiv:1811.05337v1 fatcat:h2ctanpzevcvjiczug6zp6gi4i