192 citations · 529 across the 38 of their papers we have counts for
6 papers · 1 filter
Maximal Cliques in Scale-Free Random Graphs
Thomas Bläsius, Maximillian Katzmann, Clara Stegehuis
We investigate the number of maximal cliques, i.e., cliques that are not contained in any larger clique, in three network models: Erdős-Rényi random graphs, inhomogeneous random gr…
On the distances within cliques in a soft random geometric graph
Ercan Sönmez, Clara Stegehuis
We study the distances of edges within cliques in a soft random geometric graph on a torus, where the vertices are points of a homogeneous Poisson point process, and far-away point…
Resource and location sharing in wireless networks
Clara Stegehuis, Lotte Weedage
With more and more demand from devices to use wireless communication networks, there has been an increased interest in resource sharing among operators, to give a better link quali…
Localized geometry detection in scale-free random graphs
Gianmarco Bet, Riccardo Michielan, Clara Stegehuis
We consider the problem of detecting whether a power-law inhomogeneous random graph contains a geometric community, and we frame this as an hypothesis testing problem. More precise…
Large deviations for triangles in scale-free random graphs
Clara Stegehuis, Bert Zwart
We provide large deviations estimates for the upper tail of the number of triangles in scale-free inhomogeneous random graphs where the degrees have power law tails with index $-α,…
On the resilience of cellular networks: how can national roaming help?
Lotte Weedage, Syllas Rangel, Clara Stegehuis +1
Cellular networks have become one of the critical infrastructures, as many services depend increasingly on wireless connectivity. Therefore, it is important to quantify the resilie…