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math.PR2015
Construction of Directed Assortative Configuration Graphs
Philippe Deprez, Mario V. Wüthrich
Constructions of directed configuration graphs based on a given bi-degree distribution were introduced in random graph theory some years ago. These constructions lead to graphs whe…
math.PR2014
Networks, Random Graphs and Percolation
Philippe Deprez, Mario V. Wüthrich
The theory of random graphs goes back to the late 1950s when Paul Erdős and Alfréd Rényi introduced the Erdős-Rényi random graph. Since then many models have been developed, and th…
math.PR2013
Scale-Free Percolation in Continuum Space
Philippe Deprez, Mario V. Wüthrich
The study of real-life network modeling has become very popular in recent years. An attractive model is the scale-free percolation model on the lattice , , bec…