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Information cascades in signed hypergraphs
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DOI：10.1016/j.physa.2026.131543.png)
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Abstract
En 中文
Current research on social contagion rarely investigates how negative relationships shape diffusion outcomes in higher-order structures. To bridge this gap, we introduce a dual-threshold contagion model on signed hypergraphs, where a parameter α tunes the inhibitory influence of negative hyperedges. By combining mean-field theory with analytical approximations, we characterize the cascade conditions up to the second order. We find that strong negative inhibition leads to rich dynamical behaviors, specifically two discontinuous phase transitions featuring explosive activation and an abrupt collapse. Conversely, the system under positive or weakly negative weights demonstrates an asymmetric sensitivity to the dual thresholds. This framework offers a theoretical basis for understanding how signed higher-order interactions, threshold heterogeneity, and seed size collectively regulate global cascades.
Keywords:
social contagion
signed hypergraphs
dual-threshold model
cascade dynamics
explosive transitions
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