Time-dependent influence metric for cascade dynamics on networks
Physics and Society
2025-05-01 v2 Data Analysis, Statistics and Probability
Abstract
An algorithm for efficiently calculating the expected size of single-seed cascade dynamics on networks is proposed and tested. The expected size is a time-dependent quantity and so enables the identification of nodes who are the most influential early or late in the spreading process. The measure is accurate for both critical and subcritical dynamic regimes and so generalises the nonbacktracking centrality that was previously shown to successfully identify the most influential single spreaders in a model of critical epidemics on networks.
Cite
@article{arxiv.2401.16978,
title = {Time-dependent influence metric for cascade dynamics on networks},
author = {James P. Gleeson and Ailbhe Cassidy and Daniel Giles and Ali Faqeeh},
journal= {arXiv preprint arXiv:2401.16978},
year = {2025}
}
Comments
18 pages, 6 figures. This version accepted for publication in Physical Review E