Analysis of cut vertex in the control of complex networks

doi:10.1088/1674-1056/aca208

Abstract The control of complex networks is affected by their structural characteristic. As a type of key nodes in a network structure, cut vertexes are essential for network connectivity because their removal will disconnect the network. Despite their fundamental importance, the influence of the cut vertexes on network control is still uncertain. Here, we reveal the relationship between the cut vertexes and the driver nodes, and find that the driver nodes tend to avoid the cut vertexes. However, driving cut vertexes reduce the energy required for controlling complex networks, since cut vertexes are located near the middle of the control chains. By employing three different node failure strategies, we investigate the impact of cut vertexes failure on the energy required. The results show that cut vertex failures markedly increase the control energy because the cut vertexes are larger-degree nodes. Our results deepen the understanding of the structural characteristic in network control.

Keywords: cut vertex controllability control energy structural characteristic complex networks

Received: 15 April 2022
Revised: 10 September 2022
Accepted manuscript online: 11 November 2022

PACS:	89.75.Fb	(Structures and organization in complex systems)
	89.75.-k	(Complex systems)
	02.30.Yy	(Control theory)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61763013), the Natural Science Foundation of Jiangxi Province of China (Grant No. 20202BABL212008), the Jiangxi Provincial Postdoctoral Preferred Project of China (Grant No. 2017KY37), and the Key Research and Development Project of Jiangxi Province of China (Grant No. 20202BBEL53018).

Corresponding Authors: Sen Nie
E-mail: niesen@ecjtu.edu.cn

Cite this article:

Jie Zhou(周洁), Cheng Yuan(袁诚), Zu-Yu Qian(钱祖燏), Bing-Hong Wang(汪秉宏), and Sen Nie(聂森) Analysis of cut vertex in the control of complex networks 2023 Chin. Phys. B 32 028902

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