Robustness of higher-low order networks with adjustable coupling strength

Chengjun Zhang, Hao Yang, Wenbin Yu, Yadang Chen, Yi Lei, Hui Yao and Yifan Xie
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Chengjun Zhang: ��School of Computer Science, Nanjing University of Information Science and Technology, 219 Ningliu Road, Nanjing 210044, P. R. China‡Nanjing University of Information Science & Technology, Wuxi Institute of Technology, Jiangsu Wuxi 214000, P. R. China
Hao Yang: ��School of Computer Science, Nanjing University of Information Science and Technology, 219 Ningliu Road, Nanjing 210044, P. R. China
Wenbin Yu: ��School of Software, Nanjing University of Information Science and Technology, 219 Ningliu Road, Nanjing 210044, P. R. China‡Nanjing University of Information Science & Technology, Wuxi Institute of Technology, Jiangsu Wuxi 214000, P. R. China
Yadang Chen: ��School of Computer Science, Nanjing University of Information Science and Technology, 219 Ningliu Road, Nanjing 210044, P. R. China
Yi Lei: ��School of Computer Science, Nanjing University of Information Science and Technology, 219 Ningliu Road, Nanjing 210044, P. R. China
Hui Yao: ��School of Computer Science, Nanjing University of Information Science and Technology, 219 Ningliu Road, Nanjing 210044, P. R. China
Yifan Xie: ��School of Computer Science, Nanjing University of Information Science and Technology, 219 Ningliu Road, Nanjing 210044, P. R. China

International Journal of Modern Physics C (IJMPC), 2024, vol. 35, issue 06, 1-26

Abstract: Robustness is one of the most critical characteristics of complex networks, determining their stability and resilience in the face of various disturbances. With the research on complex networks, people have observed that higher-order networks can also affect the structure and function of the network. Therefore, when studying network robustness, we also need to consider the interaction between higher-order networks and low-order networks. To delve deeper into the investigation and comprehension of robustness in complex networks, this paper introduces a model of higher-low order networks with adjustable coupling strength. In this model, network nodes are categorized into autonomous and nonautonomous nodes, with coupling strength adjusted using three methods: random coupling, degree-related coupling, and local coupling. Validation is performed on ER networks, BA networks, SW networks, as well as several real-world networks. The results indicate that as coupling strength increases, network robustness correspondingly diminishes, and the network exhibits intricate percolation behavior.

Keywords: Higher-low order networks; adjustable coupling strength; robustness; percolation theory (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0129183124500736

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