Efficient calculation of the robustness measure R for complex networks

Chen Hong, Ning He, Oriol Lordan, Bo-Yuan Liang and Nai-Yu Yin

Physica A: Statistical Mechanics and its Applications, 2017, vol. 478, issue C, 63-68

Abstract: In a recent work, Schneider et al. (2011) proposed a new measure R for network robustness, where the value of R is calculated within the entire process of malicious node attacks. In this paper, we present an approach to improve the calculation efficiency of R, in which a computationally efficient robustness measure R′ is introduced when the fraction of failed nodes reaches to a critical threshold qc. Simulation results on three different types of network models and three real networks show that these networks all exhibit a computationally efficient robustness measure R′. The relationships between R′ and the network size N and the network average degree 〈k〉 are also explored. It is found that the value of R′ decreases with N while increases with 〈k〉. Our results would be useful for improving the calculation efficiency of network robustness measure R for complex networks.

Keywords: Network robustness; Robustness measure; Malicious attack; Complex networks (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:478:y:2017:i:c:p:63-68

DOI: 10.1016/j.physa.2017.02.054

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