192 citations · 529 across the 38 of their papers we have counts for
9 papers · 1 filter
Homophily Within and Across Groups
Abbas K. Rizi, Riccardo Michielan, Clara Stegehuis +1
Homophily -- the tendency of individuals to interact with similar others -- shapes how networks form and function. Yet existing approaches typically collapse homophily to a single…
Sharpest possible clustering bounds using robust random graph analysis
Judith Brugman, Johan S. H. van Leeuwaarden, Clara Stegehuis
Complex network theory crucially depends on the assumptions made about the degree distribution, while fitting degree distributions to network data is challenging, in particular for…
Detecting hyperbolic geometry in networks: why triangles are not enough
Riccardo Michielan, Nelly Litvak, Clara Stegehuis
In the past decade, geometric network models have received vast attention in the literature. These models formalize the natural idea that similar vertices are likely to connect. Be…
Network processes on clique-networks with high average degree: the limited effect of higher-order structure
Clara Stegehuis, Thomas Peron
In this paper, we investigate the effect of local structures on network processes. We investigate a random graph model that incorporates local clique structures to deviate from the…
Contact tracing in configuration models
Ivan Kryven, Clara Stegehuis
Quarantining and contact tracing are popular ad hoc practices for mitigating epidemic outbreaks. However, few mathematical theories are currently available to asses the role of a n…
Closure coefficients in scale-free complex networks
Clara Stegehuis
The formation of triangles in complex networks is an important network property that has received tremendous attention. The formation of triangles is often studied through the clus…
Scale-free network clustering in hyperbolic and other random graphs
Clara Stegehuis, Remco van der Hofstad, Johan S. H. van Leeuwaarden
Random graphs with power-law degrees can model scale-free networks as sparse topologies with strong degree heterogeneity. Mathematical analysis of such random graphs proved success…
Epidemic spreading on complex networks with community structures
Clara Stegehuis, Remco van der Hofstad, Johan S. H. van Leeuwaarden
Many real-world networks display a community structure. We study two random graph models that create a network with similar community structure as a given network. One model preser…
Power-law relations in random networks with communities
Clara Stegehuis, Remco van der Hofstad, Johan S. H. van Leeuwaarden
Most random graph models are locally tree-like - do not contain short cycles - rendering them unfit for modeling networks with a community structure. We introduce the hierarchical…