555 citations · 2.9k across the 55 of their papers we have counts for
5 papers · 1 filter
Random Multi-Hopper Model. Super-Fast Random Walks on Graphs
Ernesto Estrada, Jean-Charles Delvenne, Naomichi Hatano +4
We develop a model for a random walker with long-range hops on general graphs. This random multi-hopper jumps from a node to any other node in the graph with a probability that dec…
The many facets of community detection in complex networks
Michael T. Schaub, Jean-Charles Delvenne, Martin Rosvall +1
Community detection, the decomposition of a graph into essential building blocks, has been a core research topic in network science over the past years. Since a precise notion of w…
Graph partitions and cluster synchronization in networks of oscillators
Michael T. Schaub, Neave O'Clery, Yazan N. Billeh +3
Synchronization over networks depends strongly on the structure of the coupling between the oscillators. When the coupling presents certain regularities, the dynamics can be coarse…
Sparse matrix factorizations for fast linear solvers with application to Laplacian systems
Michael T. Schaub, Maguy Trefois, Paul Van Dooren +1
In solving a linear system with iterative methods, one is usually confronted with the dilemma of having to choose between cheap, inefficient iterates over sparse search directions…
Using higher-order Markov models to reveal flow-based communities in networks
Vsevolod Salnikov, Michael T. Schaub, Renaud Lambiotte
Complex systems made of interacting elements are commonly abstracted as networks, in which nodes are associated with dynamic state variables, whose evolution is driven by interacti…