4 papers
Clustering without geometry in sparse networks with independent edges
Alessio Catanzaro, Remco van der Hofstad, Diego Garlaschelli
The coexistence of sparsity and clustering (non-vanishing average fraction of triangles per node) is one of the few structural features that, irrespective of finer details, are ubi…
Renormalization of Interacting Random Graph Models
Alessio Catanzaro, Diego Garlaschelli, Subodh P. Patil
Random graphs offer a useful mathematical representation of a variety of real world complex networks. Exponential random graphs, for example, are particularly suited towards genera…
Spectra of random graphs with discrete scale invariance
Alessio Catanzaro, Rajat Subhra Hazra, Diego Garlaschelli
Random graphs defined by an occurrence probability that is invariant under node aggregation have been identified recently in the context of network renormalization. The invariance…
A General Solution for Network Models with Pairwise Edge Coupling
Alessio Catanzaro, Subodh Patil, Diego Garlaschelli
Network Models with couplings between link pairs are the simplest models for a class of networks with Higher Order interactions. In this paper we give an analytic, general solution…