IDENTIFYING VITAL NODES IN COMPLEX NETWORK BY CONSIDERING MULTIPLEX INFLUENCES

Tao Ren (), Yanjie Xu, Lingjun Liu (), Enming Guo () and Pengyu Wang ()
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Tao Ren: Software College, Northeastern University, No. 195, Chuangxin Road, Hunnan District, Shenyang 110169, P. R. China
Yanjie Xu: Software College, Northeastern University, No. 195, Chuangxin Road, Hunnan District, Shenyang 110169, P. R. China
Lingjun Liu: Software College, Northeastern University, No. 195, Chuangxin Road, Hunnan District, Shenyang 110169, P. R. China
Enming Guo: Department of Computer Science and Engineering, University of California San Diego, 9500 Gilman Drive, La Jolla, CA 92093, USA
Pengyu Wang: Software College, Northeastern University, No. 195, Chuangxin Road, Hunnan District, Shenyang 110169, P. R. China

Advances in Complex Systems (ACS), 2023, vol. 26, issue 04n05, 1-16

Abstract: Identifying vital nodes is a fundamental topic in network science. Some methods are proposed to identify vital nodes in a complex network. These measures take into account different aspects of a node’s importance, such as its number of connections, the centrality of its connected nodes, and the distribution of its connections. Applying these measures makes it is possible to identify the nodes that play a vital role in the network and that have the greatest impact on its structure and function. However, there is still an inherent problem with identifying vital nodes accurately and discriminatively. To address the problem, for undirected unweighted networks, we propose an algorithm based on the nodes’ multiplex influences via the network structure to identify vital nodes. The effectiveness of the proposed method is evaluated by Kendall’s Tau (τ) and monotonicity and compared with well-known existing metrics such as degree centrality, K-shell decomposition, H-index, betweenness centrality, closeness centrality, eigenvector centrality, collective influence, and gravity model in 10 real networks. Experimental results show the superiority of the proposed algorithm in identifying vital nodes.

Keywords: Complex network; vital nodes; multiplex influences (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0219525923500091

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