215 citations · 1.2k across the 37 of their papers we have counts for
7 papers · 1 filter
General and exact approach to percolation on random graphs
Antoine Allard, Laurent Hébert-Dufresne, Jean-Gabriel Young +1
We present a comprehensive and versatile theoretical framework to study site and bond percolation on clustered and correlated random graphs. Our contribution can be summarized in t…
Coexistence of phases and the observability of random graphs
Antoine Allard, Laurent Hébert-Dufresne, Jean-Gabriel Young +1
In a recent Letter, Yang et al. [Phys. Rev. Lett. 109, 258701 (2012)] introduced the concept of observability transitions: the percolation-like emergence of a macroscopic observabl…
Bond percolation on a class of correlated and clustered random graphs
Antoine Allard, Laurent Hébert-Dufresne, Pierre-André Noël +2
We introduce a formalism for computing bond percolation properties of a class of correlated and clustered random graphs. This class of graphs is a generalization of the Configurati…
Exact solution of bond percolation on small arbitrary graphs
Antoine Allard, Laurent Hébert-Dufresne, Pierre-André Noël +2
We introduce a set of iterative equations that exactly solves the size distribution of components on small arbitrary graphs after the random removal of edges. We also demonstrate h…
Propagation on networks: an exact alternative perspective
Pierre-André Noël, Antoine Allard, Laurent Hébert-Dufresne +2
By generating the specifics of a network structure only when needed (on-the-fly), we derive a simple stochastic process that exactly models the time evolution of susceptible-infect…
Propagation dynamics on networks featuring complex topologies
Laurent Hébert-Dufresne, Pierre-André Noël, Vincent Marceau +2
Analytical description of propagation phenomena on random networks has flourished in recent years, yet more complex systems have mainly been studied through numerical means. In thi…