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Cascades on Networks with Functional Structure
[Submitted on 30 May 2025 (v1), last revised 10 Jul 2026 (this v · 2025-05-30 · via cs.SI updates on arXiv.org

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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.

Submission history

From: Christian Kluge [view email]
[v1] Fri, 30 May 2025 14:24:56 UTC (78 KB)
[v2] Fri, 10 Jul 2026 11:18:13 UTC (125 KB)

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