50 citations · 330 across the 31 of their papers we have counts for
3 papers · 1 filter
Unfolding the multiscale structure of networks with dynamical Ollivier-Ricci curvature
Adam Gosztolai, Alexis Arnaudon
Describing networks geometrically through low-dimensional latent metric spaces has helped design efficient learning algorithms, unveil network symmetries and study dynamical networ…
Relative, local and global dimension in complex networks
Robert L. Peach, Alexis Arnaudon, Mauricio Barahona
Dimension is a fundamental property of objects and the space in which they are embedded. Yet ideal notions of dimension, as in Euclidean spaces, do not always translate to physical…
Scale-dependent measure of network centrality from diffusion dynamics
Alexis Arnaudon, Robert L. Peach, Mauricio Barahona
Classic measures of graph centrality capture distinct aspects of node importance, from the local (e.g., degree) to the global (e.g., closeness). Here we exploit the connection betw…