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arXiv · 0708.0660

Network synchronizability analysis: the theory of subgraphs and complementary graphs

Zhisheng Duan·Chao Liu·Guanrong Chen
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Abstract

In this paper, subgraphs and complementary graphs are used to analyze the network synchronizability. Some sharp and attainable bounds are provided for the eigenratio of the network structural matrix, which characterizes the network synchronizability, especially when the network's corresponding graph has cycles, chains, bipartite graphs or product graphs as its subgraphs.

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Zhisheng Duan, Chao Liu, Guanrong Chen. 2007-08-05. Network synchronizability analysis: the theory of subgraphs and complementary graphs. https://doi.org/10.1016/j.physd.2007.12.003

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