AUTHOR=Du Weiwei , Zhu Jian , Gao Haiping , Li Xianyong 

TITLE=Consensus analysis of the weighted corona networks

JOURNAL=Frontiers in Physics

VOLUME=Volume 10 - 2022

YEAR=2022

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2022.948247

DOI=10.3389/fphy.2022.948247

ISSN=2296-424X

ABSTRACT=This paper studies the consensus of weighted corona network  G1 ◦ G2. The consensus of the networks can be measured by coherence. Firstly, the Laplacian polynomial of  G1 ◦  G2 is derived by using the properties of orthogonal matri. Secondly, the relationship between the first-order coherence of e G1 ◦ G2 and G1 is deduced by using the relevant properties of determinant and the conclusion of polynomial coefficients and the principal minors of matrix. Thirdly, the join operation is introduced to further simplify the analytical formula of network coherence. Finally,
a specific network example is used to verify the validity of the conclusion