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arXiv · 1810.06495

Generalised hypergeometric ensembles of random graphs: the configuration model as an urn problem

Giona Casiraghi·Vahan Nanumyan
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Abstract

We introduce a broad class of random graph models: the generalised hypergeometric ensemble (GHypEG). This class enables to solve some long standing problems in random graph theory. First, GHypEG provides an elegant and compact formulation of the well-known configuration model in terms of an urn problem. Second, GHypEG allows to incorporate arbitrary tendencies to connect different vertex pairs. Third, we present the closed-form expressions of the associated probability distribution ensures the analytical tractability of our formulation. This is in stark contrast with the previous state-of-the-art, which is to implement the configuration model by means of computationally expensive procedures.

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BibTeXRIS

Giona Casiraghi, Vahan Nanumyan. 2018-10-15. Generalised hypergeometric ensembles of random graphs: the configuration model as an urn problem. https://doi.org/10.1038/s41598-021-92519-y

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