MATEC Web Conf.
Volume 355, 20222021 International Conference on Physics, Computing and Mathematical (ICPCM2021)
|Number of page(s)||6|
|Section||Investigation in Physics and Materials|
|Published online||12 January 2022|
Signed zero forcing number and controllability for a networks system with a directed hypercube
1 College of Applied Mathematics, Chengdu University of Information Technology, China
2 School of Mathematical Sciences, University of Electronic Science and Technology of China
* Corresponding author: email@example.com
The controllability for complex network system is to find the minimum number of leaders for the network system to achieve effective control of the global networks. In this paper, the problem of controllability of the directed network for a family of matrices carrying the structure under directed hypercube is considered. The relationship between the minimum number of leaders for the directed network system and the number of the signed zero forcing set is established. The minimum number of leaders of the directed networks system under a directed hypercube is obtained by computing the zero forcing number of a signed graph.
Key words: Directed networks system / Signed zero forcing / Signed graph / Minimum number of leaders
© The Authors, published by EDP Sciences, 2022
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