Cascades on Constrained Multiplex Networks

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Hauptverfasser: Kluge, Christian, Kuehn, Christian
Format: Preprint
Veröffentlicht: 2025
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author Kluge, Christian
Kuehn, Christian
author_facet Kluge, Christian
Kuehn, Christian
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_24631
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Cascades on Constrained Multiplex Networks
Kluge, Christian
Kuehn, Christian
Adaptation and Self-Organizing Systems
Social and Information Networks
Probability
Physics and Society
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.
title Cascades on Constrained Multiplex Networks
topic Adaptation and Self-Organizing Systems
Social and Information Networks
Probability
Physics and Society
url https://arxiv.org/abs/2505.24631