Evaluation of invulnerability of scale-free networks using total information of local sub-graph

Tingyuan Nie, Xinling Guo (), Mengda Lin () and Kun Zhao ()
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Tingyuan Nie: School of Information & Control Engineering, Qingdao University of Technology, No. 11, Fushun Road, Qingdao, 266033/Shandong, P. R. China
Xinling Guo: School of Information & Control Engineering, Qingdao University of Technology, No. 11, Fushun Road, Qingdao, 266033/Shandong, P. R. China
Mengda Lin: School of Information & Control Engineering, Qingdao University of Technology, No. 11, Fushun Road, Qingdao, 266033/Shandong, P. R. China
Kun Zhao: School of Information & Control Engineering, Qingdao University of Technology, No. 11, Fushun Road, Qingdao, 266033/Shandong, P. R. China

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 08, 1-12

Abstract: The quantification for the invulnerability of complex network is a fundamental problem in which identifying influential nodes is of theoretical and practical significance. In this paper, we propose a novel definition of centrality named total information (TC) which derives from a local sub-graph being constructed by a node and its neighbors. The centrality is then defined as the sum of the self-information of the node and the mutual information of its neighbor nodes. We use the proposed centrality to identify the importance of nodes through the evaluation of the invulnerability of scale-free networks. It shows both the efficiency and the effectiveness of the proposed centrality are improved, compared with traditional centralities.

Keywords: Complex network; invulnerability; total information; self-information; mutual information (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0129183118500754

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