From the 1 of 3 linked papers with an AI index.
3 papers
cs.SI2026
Walk based Laplacians for Modeling Diffusion on Complex Networks
Francesca Arrigo, Fabio Durastante
The paper introduces a family of walk‑based Laplacian operators for modeling diffusion on complex networks, including variants that suppress or downweight backtracking steps, and p…
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.NA2025
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…