On Consensus of Star-Composed Networks with an Application of Laplacian Spectrum
Joint Authors
Jiang, Haijun
Yu, Zhiyong
Huang, Da
Huang, Qiongxiang
Chen, Xing
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-03-05
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, we mainly study the performance of star-composed networks which can achieve consensus.
Specifically, we investigate the convergence speed and robustness of the consensus of the networks, which can be measured by the smallest nonzero eigenvalue λ2 of the Laplacian matrix and the H2 norm of the graph, respectively.
In particular, we introduce the notion of the corona of two graphs to construct star-composed networks and apply the Laplacian spectrum to discuss the convergence speed and robustness for the communication network.
Finally, the performances of the star-composed networks have been compared, and we find that the network in which the centers construct a balanced complete bipartite graph has the most advantages of performance.
Our research would provide a new insight into the combination between the field of consensus study and the theory of graph spectra.
American Psychological Association (APA)
Huang, Da& Jiang, Haijun& Yu, Zhiyong& Huang, Qiongxiang& Chen, Xing. 2017. On Consensus of Star-Composed Networks with an Application of Laplacian Spectrum. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1151453
Modern Language Association (MLA)
Huang, Da…[et al.]. On Consensus of Star-Composed Networks with an Application of Laplacian Spectrum. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1151453
American Medical Association (AMA)
Huang, Da& Jiang, Haijun& Yu, Zhiyong& Huang, Qiongxiang& Chen, Xing. On Consensus of Star-Composed Networks with an Application of Laplacian Spectrum. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1151453
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151453