18 citations · 37 across the 5 of their papers we have counts for
7 papers
Learning the mechanisms of network growth
Lourens Touwen, Doina Bucur, Remco van der Hofstad +2
We propose a novel model-selection method for dynamic networks. Our approach involves training a classifier on a large body of synthetic network data. The data is generated by simu…
Universality of the local limit of preferential attachment models
Alessandro Garavaglia, Rajat Subhra Hazra, Remco van der Hofstad +1
We study preferential attachment models where vertices enter the network with i.i.d. random numbers of edges that we call the out-degree. We identify the local limit of such models…
Subgraphs in preferential attachment models
Alessandro Garavaglia, Clara Stegehuis
We consider subgraph counts in general preferential attachment models with power-law degree exponent . For all subgraphs , we find the scaling of the expected number of sub…
Local weak convergence for PageRank
Alessandro Garavaglia, Remco van der Hofstad, Nelly Litvak
PageRank is a well-known algorithm for measuring centrality in networks. It was originally proposed by Google for ranking pages in the World-Wide Web. One of the intriguing empiric…
From trees to graphs: collapsing continuous-time branching processes
Alessandro Garavaglia, Remco van der Hofstad
Continuous-time branching processes (CTBPs) are powerful tools in random graph theory, but are not appropriate to describe real-world networks, since they produce trees rather than…
The dynamics of power laws: Fitness and aging in preferential attachment trees
Alessandro Garavaglia, Remco van der Hofstad, Gerhard Woeginger
Continuous-time branching processes describe the evolution of a population whose individuals generate a random number of children according to a birth process. Such branching proce…
Diameter in ultra-small scale-free random graphs: Extended version
Francesco Caravenna, Alessandro Garavaglia, Remco van der Hofstad
It is well known that many random graphs with infinite variance degrees are ultrasmall. More precisely, for configuration models and preferential attachment models where the propor…