2 papers
math.NA2026
Spectral and computational aspects of a regularized fractional Laplacian for non-local diffusion on graphs
Alessandro Filippo, Mariarosa Mazza
The fractional Laplacian has been widely used to model non-local diffusion on graphs, allowing interactions that extend beyond immediate neighbors. However, it suffers from a struc…
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…