3 papers
cs.SI2026
Walk based Laplacians for Modeling Diffusion on Complex Networks
Francesca Arrigo, Fabio Durastante
We develop a novel framework for modeling diffusion on complex networks by constructing Laplacian-like operators based on walks around a graph. Our approach introduces a parametric…
cs.SI2025
A local eigenvector centrality
Ruaridh A. Clark, Francesca Arrigo, Agathe Bouis +1
Eigenvector centrality is an established measure of global connectivity, from which the importance and influence of nodes can be inferred. We introduce a local eigenvector centrali…
math.NA2024
Updating Katz centrality by counting walks
Francesca Arrigo, Daniele Bertaccini, Alessandro Filippo
We develop efficient and effective strategies for the update of Katz centralities after node and edge removal in simple graphs. We provide explicit formulas for the ``loss of walks…