The attack tolerance of community structure in complex networks

2010/01/14 by Jie Cheng, Xiaojia Li, Cheng, Jie +5
Physics and Astronomy · Psychology · #Complex Network Analysis Techniques #FOS: Physical sciences #Mental Health Research Topics #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.1001.2377

openalex publication_date 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Robustness is an important property of complex networks. Up to now, there are plentiful researches focusing on the network's robustness containing error and attack tolerance of network's connectivity and the shortest path. In this paper, the error and attack tolerance of network's community structure are studies through randomly and purposely disturbing interaction of networks. Two purposely perturbation methods are designed, that one methods is based on cluster coefficient and the other is attacking triangle. Dissimilarity function D is used to quantify the changes of community structure and modularity Q is used to quantify the significance of community structure. The numerical results show that after perturbation, network's community structure is damaged to be more unclear. It is also discovered that purposely attacking damages more to the community structure than randomly attacking.

Citations

• Email as Spectroscopy: Automated Discovery of Community Structure within\n Organizations

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