| Issue |
MATEC Web Conf.
Volume 355, 2022
2021 International Conference on Physics, Computing and Mathematical (ICPCM2021)
|
|
|---|---|---|
| Article Number | 01012 | |
| Number of page(s) | 6 | |
| Section | Investigation in Physics and Materials | |
| DOI | https://doi.org/10.1051/matecconf/202235501012 | |
| 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: zqy1607@cuit.edu.cn
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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.