Threshold cascade dynamics on signed random networks

Kyu Min Lee, Sungmin Lee, Byungjoon Min, K. I. Goh

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


Relationships between individuals in social networks, genes in biological systems, and spins in magnetic systems often reflect a mixture of positive (friendly) and negative (antagonistic) interactions. However, most studies of complex networks have focused on networks consisting solely of positive interactions. Here, we study threshold cascades on signed networks composed of both positive and negative connections, focusing on when a pair of nodes connected by a negative link can only be activated exclusively to each other. We found that the negative interactions not only suppress global cascades, but also induce the heterogeneity in activation patterns manifesting from single-node to network levels. Our results suggest that negative interactions may be an important source of the variability in cascading dynamics.

Original languageEnglish
Article number113118
JournalChaos, Solitons and Fractals
Publication statusPublished - 2023 Mar

Bibliographical note

Publisher Copyright:
© 2023 Elsevier Ltd


  • Heterogeneous activation patterns
  • Negative links
  • Signed networks
  • Threshold cascade

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • General Mathematics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics


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