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Critical Nodes Identification in Complex Networks: A Survey

Created by
  • Haebom

Author

Duxin Chen, Jiawen Chen, Xiaoyu Zhang, Qinghan Jia, Xiaolu Liu, Ye Sun, Linyuan Lv, Wenwu Yu

Outline

This paper provides a comprehensive review of techniques for identifying critical nodes in complex networks, which have become essential tools for understanding diverse phenomena, including social, transportation, biomolecular, and financial systems. Previous research has struggled to develop a universal framework for identifying critical nodes due to the inherent complexity and structural heterogeneity of real-world networks, including dynamic and high-order networks. This paper systematically categorizes critical node identification techniques into seven major categories: centrality, the critical node deletion problem, influence maximization, network control, artificial intelligence, and high-order and dynamic methods. This paper addresses the gaps in existing research by highlighting the strengths, limitations, and applicability of each method to various network types. Furthermore, it presents key challenges, such as algorithmic universality, real-time evaluation in dynamic networks, analysis of high-order structures, and computational efficiency in large-scale networks, thereby enhancing our understanding of critical node research. Finally, it comprehensively summarizes current research progress, highlighting outstanding challenges, including temporal dynamics modeling, efficient algorithm development, integration of machine learning approaches, and development of scalable and interpretable metrics for complex systems.

Takeaways, Limitations

Takeaways:
We systematically categorize important node identification techniques into seven major categories to bridge the gap in existing research.
Clearly present the strengths, limitations, and applicability of each method.
It presents key challenges in the study of important nodes, such as dynamic networks, high-order structure analysis, and computational efficiency of large-scale networks.
It suggests future research directions, including temporal dynamics modeling, development of efficient algorithms, and integration of machine learning approaches.
Limitations:
The presented classification scheme may not comprehensively cover all important node identification methods.
Detailed analysis of performance comparison and evaluation of each method may be lacking.
There may be biases towards certain types of networks or applications.
There may be a lack of discussion about the feasibility and challenges of the proposed future research directions.
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