29 citations · 176 across the 23 of their papers we have counts for
23 papers
Supercritical long-range percolation on graphs of polynomial growth: the truncated one-arm exponent
Yago Moreno Alonso, Julia Komjathy
We consider supercritical long-range percolation on transitive graphs of polynomial growth. In this model, any two vertices and of the underlying graph connect by a dir…
Four universal growth regimes in degree-dependent first passage percolation on spatial random graphs I
Júlia Komjáthy, John Lapinskas, Johannes Lengler +1
One-dependent first passage percolation is a spreading process on a graph where the transmission time through each edge depends on the direct surroundings of the edge. In particula…
Not all interventions are equal for the height of the second peak
Tim Hulshof, Joost Jorritsma, Júlia Komjáthy
In this paper we conduct a simulation study of the spread of an epidemic like COVID-19 with temporary immunity on finite spatial and non-spatial network models. In particular, we a…
Weighted distances in scale-free preferential attachment models
Joost Jorritsma, Júlia Komjáthy
We study three preferential attachment models where the parameters are such that the asymptotic degree distribution has infinite variance. Every edge is equipped with a non-negativ…
Random intersection graphs with communities
Remco van der Hofstad, Julia Komjathy, Viktoria Vadon
Random intersection graphs model networks with communities, assuming an underlying bipartite structure of groups and individuals, where these groups may overlap. Group memberships…
Transfinite fractal dimension of trees and hierarchical scale-free graphs
Júlia Komjáthy, Roland Molontay, Károly Simon
In this paper, we introduce a new concept: the transfinite fractal dimension of graph sequences motivated by the notion of fractality of complex networks proposed by Song et al. We…