On sparsity, power-law and clustering properties of graphex processes

This paper investigates properties of the class of graphs based on exchangeable point processes. We provide asymptotic expressions for the number of edges, number of nodes, and degree distributions, identifying four regimes: (i) a dense regime, (ii) a sparse, almost dense regime, (iii) a sparse regi...

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Bibliographic Details
Main Authors: Caron, F, Panero, F, Rousseau, J
Format: Journal article
Language:English
Published: Cambridge University Press 2023