Resilience of networks with community structure behaves as if under an external field
Abstract
Much work has focused on phase transitions in complex networks in which the system transitions from a resilient to a failed state. Furthermore, many of these networks have a community structure, whose effects on resilience have not yet been fully understood. Here, we show that the community structure can significantly affect the resilience of the system in that it removes the phase transition present in a single module, and the network remains resilient at this transition. In particular, we show that the effect of increasing interconnections is analogous to increasing external magnetic field in spin systems. Our findings provide insight into the resilience of many modular complex systems and clarify the important effects that community structure has on network resilience.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jun 20, 2018
- Source ID
- 10.1073/pnas.1801588115
Entities
People
- Gaogao Dong
- H. Eugene Stanley
- Jingfang Fan
- Lixin Tian
- Louis M Shekhtman
- Ruijin Du
- Saray Shai
- Shlomo Havlin
- Xiaosong Chen
Organizations
- Bar-Ilan University
- Boston University
- Chinese Academy of Sciences
- Defense Threat Reduction Agency
- Jiangsu University
- Nanjing Normal University
- Tokyo Institute of Technology
- University of Chinese Academy of Sciences
- Wesleyan University