Analysis of cut vertex in the control of complex networks  

作　　者：周洁 袁诚 钱祖燏 汪秉宏 聂森 Jie Zhou;Cheng Yuan;Zu-Yu Qian;Bing-Hong Wang;Sen Nie(School of Electrical and Automation Engineering,East China Jjaotong University,Nanchang 330013,China;Deparment of Moderm Physics,University of Science and Technology of China,Hefei 230026,China)

机构地区：[1]School of Electrical and Automation Engineering, East China Jiaotong University,Nanchang 330013,China [2]Department of Modern Physics, University of Science and Technology of China,Hefei 230026,China

出　　处：《Chinese Physics B》2023年第2期574-579,共6页中国物理B（英文版）

基　　金：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);the Key Research and Development Project of Jiangxi Province of China (Grant No. 20202BBEL53018)。

摘　　要：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.

关 键 词：cut vertex CONTROLLABILITY control energy structural characteristic complex networks 

分 类 号：O157.5[理学—数学]