3 papers
math.PR2020
Stopping explosion by penalising transmission to hubs in scale-free spatial random graphs
Júlia Komjáthy, John Lapinskas, Johannes Lengler
We study the spread of information in finite and infinite inhomogeneous spatial random graphs. We assume that each edge has a transmission cost that is a product of an i.i.d. rando…
math.PR2019
Phase transition in random intersection graphs with communities
Remco van der Hofstad, Júlia Komjáthy, Viktória Vadon
The `random intersection graph with communities' models networks with communities, assuming an underlying bipartite structure of groups and individuals. Each group has its own inte…
math.PR2018
Explosion in weighted Hyperbolic Random Graphs and Geometric Inhomogeneous Random Graphs
Júlia Komjáthy, Bas Lodewijks
In this paper we study weighted distances in scale-free spatial network models: hyperbolic random graphs (HRG), geometric inhomogeneous random graphs (GIRG) and scale-free percolat…