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Threshold cascade dynamics on signed random networks

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

Abstract

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.

Suggested Citation

  • Lee, Kyu-Min & Lee, Sungmin & Min, Byungjoon & Goh, K.-I., 2023. "Threshold cascade dynamics on signed random networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s096007792300019x
    DOI: 10.1016/j.chaos.2023.113118
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    References listed on IDEAS

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    3. Kyu-Min Lee & Jae-Suk Yang & Gunn Kim & Jaesung Lee & Kwang-Il Goh & In-mook Kim, 2011. "Impact of the Topology of Global Macroeconomic Network on the Spreading of Economic Crises," PLOS ONE, Public Library of Science, vol. 6(3), pages 1-11, March.
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    6. Kyu-Min Lee & Jae-Suk Yang & Gunn Kim & Jaesung Lee & Kwang-Il Goh & In-mook Kim, 2010. "Impact of the topology of global macroeconomic network on the spreading of economic crises," Papers 1011.4336, arXiv.org, revised Apr 2011.
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    Cited by:

    1. Paolo Bartesaghi & Fernando Diaz-Diaz & Rosanna Grassi & Pierpaolo Uberti, 2024. "Global Balance and Systemic Risk in Financial Correlation Networks," Papers 2407.14272, arXiv.org.
    2. Ke, Xingfu & Wen, Youjin & Yu, Hao & Meng, Fanyuan, 2024. "A simple model of global cascades in signed networks," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).

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