Robustness of consensus in m-rose networks
The consensus of deterministic networks investigates the relationships between consensus and network topology, which can be measured by network coherence. The m-rose networks are composed of m circles, which share a common node. Recently, scholars have obtained the first-order coherence of 5-rose ne...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2023-06-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2023.1199180/full |
| _version_ | 1797810574624555008 |
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| author | Weiwei Du Jian Zhu Haiping Gao Xianyong Li |
| author_facet | Weiwei Du Jian Zhu Haiping Gao Xianyong Li |
| author_sort | Weiwei Du |
| collection | DOAJ |
| description | The consensus of deterministic networks investigates the relationships between consensus and network topology, which can be measured by network coherence. The m-rose networks are composed of m circles, which share a common node. Recently, scholars have obtained the first-order coherence of 5-rose networks. This paper takes the more general m-rose networks as the research object, firstly, the m-rose networks are introduced. Secondly, the relationships between Laplacian eigenvalues and polynomial coefficients are used to obtain the first-order and second-order coherence of the m-rose networks. Finally, the effects of topology parameters such as the number of petals m and the length of a cycle n on the robustness of network consensus are discussed, and the validity of the conclusion is verified by numerical simulation. |
| first_indexed | 2024-03-13T07:09:43Z |
| format | Article |
| id | doaj.art-7a95fc9c5f03487f9664ff0e5fc55357 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-03-13T07:09:43Z |
| publishDate | 2023-06-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-7a95fc9c5f03487f9664ff0e5fc553572023-06-06T04:34:46ZengFrontiers Media S.A.Frontiers in Physics2296-424X2023-06-011110.3389/fphy.2023.11991801199180Robustness of consensus in m-rose networksWeiwei Du0Jian Zhu1Haiping Gao2Xianyong Li3Research Center for Vocational and Technical Education, Xinjiang Institute of Engineering, Urumqi, Xinjiang, ChinaDepartment of Mathematics and Physics, Xinjiang Institute of Engineering, Urumqi, Xinjiang, ChinaDepartment of Basic Science, Xinjiang Institute of Light Industry Technology, Urumqi, Xinjiang, ChinaDepartment of Computer and Software Engineering, Xihua University, Chengdu, Sichuan, ChinaThe consensus of deterministic networks investigates the relationships between consensus and network topology, which can be measured by network coherence. The m-rose networks are composed of m circles, which share a common node. Recently, scholars have obtained the first-order coherence of 5-rose networks. This paper takes the more general m-rose networks as the research object, firstly, the m-rose networks are introduced. Secondly, the relationships between Laplacian eigenvalues and polynomial coefficients are used to obtain the first-order and second-order coherence of the m-rose networks. Finally, the effects of topology parameters such as the number of petals m and the length of a cycle n on the robustness of network consensus are discussed, and the validity of the conclusion is verified by numerical simulation.https://www.frontiersin.org/articles/10.3389/fphy.2023.1199180/fullm-rosecoherenceLaplacian eigenvaluesconsensusrobustness |
| spellingShingle | Weiwei Du Jian Zhu Haiping Gao Xianyong Li Robustness of consensus in m-rose networks Frontiers in Physics m-rose coherence Laplacian eigenvalues consensus robustness |
| title | Robustness of consensus in m-rose networks |
| title_full | Robustness of consensus in m-rose networks |
| title_fullStr | Robustness of consensus in m-rose networks |
| title_full_unstemmed | Robustness of consensus in m-rose networks |
| title_short | Robustness of consensus in m-rose networks |
| title_sort | robustness of consensus in m rose networks |
| topic | m-rose coherence Laplacian eigenvalues consensus robustness |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2023.1199180/full |
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