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arXiv · 2505.24631

Cascades on Networks with Functional Structure

Christian Kluge·Christian Kuehn
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Abstract

We consider a version of the Watts threshold 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 is designed to represent networks with so-called "functional" or "complementary" structure. We find that the particular choice of functional structure affects the phase transitions of the cascade model in a variety of ways.

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Christian Kluge, Christian Kuehn. 2025-05-30. Cascades on Networks with Functional Structure. https://arxiv.org/abs/2505.24631

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