Cascades on Constrained Multiplex Networks
Adaptation and Self-Organizing Systems
2025-06-02 v1 Social and Information Networks
Probability
Physics and Society
Abstract
We consider a version of the Watts cascade model on directed multiplex configuration model networks, and present a detailed analysis of the cascade size, single-seed cascade probability and cascade condition. We then introduce a smaller class of network models that we call constrained multiplex networks, which allows us to induce patterns in the node activity, i.e. in the participation of nodes on different layers. We find that the choice of induced patterns affects the phase transitions of the cascade model in a variety of ways.
Cite
@article{arxiv.2505.24631,
title = {Cascades on Constrained Multiplex Networks},
author = {Christian Kluge and Christian Kuehn},
journal= {arXiv preprint arXiv:2505.24631},
year = {2025}
}