215 citations · 520 across the 7 of their papers we have counts for
10 papers
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…
Epidemics on contact networks: a general stochastic approach
Pierre-André Noël, Antoine Allard, Laurent Hébert-Dufresne +2
Dynamics on networks is considered from the perspective of Markov stochastic processes. We partially describe the state of the system through network motifs and infer any missing d…
Structural preferential attachment: Stochastic process for the growth of scale-free, modular and self-similar systems
Laurent Hébert-Dufresne, Antoine Allard, Vincent Marceau +2
Many complex systems have been shown to share universal properties of organization, such as scale independence, modularity and self-similarity. We borrow tools from statistical phy…
Structural preferential attachment: Network organization beyond the link
Laurent Hébert-Dufresne, Antoine Allard, Vincent Marceau +2
We introduce a mechanism which models the emergence of the universal properties of complex networks, such as scale independence, modularity and self-similarity, and unifies them un…
Modeling the dynamical interaction between epidemics on overlay networks
Vincent Marceau, Pierre-André Noël, Laurent Hébert-Dufresne +2
Epidemics seldom occur as isolated phenomena. Typically, two or more viral agents spread within the same host population and may interact dynamically with each other. We present a…