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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.15745 |
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| _version_ | 1866907841296596992 |
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| author | Lu, Susie Liu, Ji |
| author_facet | Lu, Susie Liu, Ji |
| contents | This paper characterizes the graphical properties of an optimal topology with minimal Laplacian energy under the constraint of fixed numbers of vertices and edges, and devises an algorithm to construct such connected optimal graphs. These constructed graphs possess maximum vertex and edge connectivity, and more importantly, exhibit large algebraic connectivity of an optimal order provided they are not sparse. These properties guarantee fast and resilient consensus processes over these graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15745 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fast Consensus Topology Design via Minimizing Laplacian Energy Lu, Susie Liu, Ji Optimization and Control This paper characterizes the graphical properties of an optimal topology with minimal Laplacian energy under the constraint of fixed numbers of vertices and edges, and devises an algorithm to construct such connected optimal graphs. These constructed graphs possess maximum vertex and edge connectivity, and more importantly, exhibit large algebraic connectivity of an optimal order provided they are not sparse. These properties guarantee fast and resilient consensus processes over these graphs. |
| title | Fast Consensus Topology Design via Minimizing Laplacian Energy |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2403.15745 |