11 papers
Degree-dependent and distance-dependent contact rates interpolate between explosive, exponential and polynomial epidemic growth
Zylan Benjert, Júlia Komjáthy, Johannes Lengler +2
It is a fundamental question in epidemiology to estimate, model and predict the growth rate of a pandemic. Analogously, analysing the diffusion of innovation, (fake) news, memes, a…
Assortativity in geometric and scale-free networks
Marc Kaufmann, Ulysse Schaller, Thomas Bläsius +1
The assortative behavior of a network is the tendency of similar (or dissimilar) nodes to connect to each other. This tendency can have an influence on various properties of the ne…
Rumour Spreading Depends on the Latent Geometry and Degree Distribution in Social Network Models
Marc Kaufmann, Kostas Lakis, Johannes Lengler +3
We study push-pull rumour spreading in ultra-small-world models for social networks where the degrees follow a power-law distribution. In a non-geometric setting, Fountoulakis, Pan…
Hardest Monotone Functions for Evolutionary Algorithms
Marc Kaufmann, Maxime Larcher, Johannes Lengler +1
In this paper we revisit the question how hard it can be for the Evolutionary Algorithm to optimize monotone pseudo-Boolean functions. By introducing a more pessimistic sto…
Expanders in Models of Social Networks
Marc Kaufmann, Johannes Lengler, Ulysse Schaller +1
A common model for social networks are Geometric Inhomogeneous Random Graphs (GIRGs), in which vertices draw a random position in some latent geometric space, and the probability o…
Balanced Bidirectional Breadth-First Search on Scale-Free Networks
Sacha Cerf, Benjamin Dayan, Umberto De Ambroggio +3
To find a shortest path between two nodes and in a given graph, a classical approach is to start a Breadth-First Search (BFS) from and run it until the search dis…