408 citations · 2.6k across the 52 of their papers we have counts for
6 papers · 1 filter
Sensitivity analysis of a branching process evolving on a network with application in epidemiology
Sophie Hautphenne, Gautier Krings, Jean-Charles Delvenne +1
We perform an analytical sensitivity analysis for a model of a continuous-time branching process evolving on a fixed network. This allows us to determine the relative importance of…
Imperfect spreading on temporal networks
Martin Gueuning, Jean-Charles Delvenne, Renaud Lambiotte
We study spreading on networks where the contact dynamics between the nodes is governed by a random process and where the inter-contact time distribution may differ from the expone…
Gradient and Passive Circuit Structure in a Class of Non-linear Dynamics on a Graph
Herbert Mangesius, Jean-Charles Delvenne, Sanjoy K. Mitter
We consider a class of non-linear dynamics on a graph that contains and generalizes various models from network systems and control and study convergence to uniform agreement state…
Detecting communities using asymptotical Surprise
V. A. Traag, R. Aldecoa, J-C. Delvenne
Nodes in real-world networks are repeatedly observed to form dense clusters, often referred to as communities. Methods to detect these groups of nodes usually maximize an objective…
Random Walks, Markov Processes and the Multiscale Modular Organization of Complex Networks
Renaud Lambiotte, Jean-Charles Delvenne, Mauricio Barahona
Most methods proposed to uncover communities in complex networks rely on combinatorial graph properties. Usually an edge-counting quality function, such as modularity, is optimized…
The robustness of democratic consensus
Fabio Fagnani, Jean-Charles Delvenne
In linear models of consensus dynamics, the state of the various agents converges to a value which is a convex combination of the agents' initial states. We call it democratic if i…