3 papers
math.CO2025
The spectral degree exponent of a graph
Massimo A. Achterberg, Piet Van Mieghem
We propose the spectral degree exponent as a novel graph metric. Although Hofmeister \cite{HofmeisterThesis} has studied the same metric, we generalise Hofmeister's work to weighte…
math.DS2024
A minimal model for multigroup adaptive SIS epidemics
Massimo A. Achterberg, Mattia Sensi, Sara Sottile
We propose a generalization of the adaptive N-Intertwined Mean-Field Approximation (aNIMFA) model studied in Achterberg and Sensi (2023) to a heterogeneous network of communities.…
physics.soc-ph2023
Analytic solution of Markovian epidemics without re-infections on heterogeneous networks
Massimo A. Achterberg, Piet Van Mieghem
Most epidemic processes on networks can be modelled by a compartmental model, that specifies the spread of a disease in a population. The corresponding compartmental graph describe…