Group percolation in interdependent networks

Zexun Wang, Dong Zhou, Yanqing Hu

Research output: Contribution to journalArticlepeer-review

58 Scopus citations


In many real network systems, nodes usually cooperate with each other and form groups to enhance their robustness to risks. This motivates us to study an alternative type of percolation, group percolation, in interdependent networks under attack. In this model, nodes belonging to the same group survive or fail together. We develop a theoretical framework for this group percolation and find that the formation of groups can improve the resilience of interdependent networks significantly. However, the percolation transition is always of first order, regardless of the distribution of group sizes. As an application, we map the interdependent networks with intersimilarity structures, which have attracted much attention recently, onto the group percolation and confirm the nonexistence of continuous phase transitions.

Original languageEnglish
Article number032306
JournalPhysical Review E
Issue number3
StatePublished - 16 Mar 2018
Externally publishedYes

Bibliographical note

Funding Information:
We are supported by the NSFC, Grants No. 61773412 and No. U1711265, and the Chinese Fundamental Research Funds for the Central Universities, Grant No. 16lgjc84. D. Zhou is supported by the DOMINOS project (Grant No. 240850) from Norwegian Research Council.

Publisher Copyright:
© 2018 American Physical Society.


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