Network synchronizability analysis: The theory of subgraphs and complementary graphs

PHYSICA D-NONLINEAR PHENOMENA

卷:237

Article

Duan, Zhisheng¹  Liu, Chao¹  Chen, Guanrong^1,2 

[1] Peking Univ, Coll Engn, State Key Lab Turbulence & Complex Syst, Dept Mech & Aerosp Engn, Beijing 100871, Peoples R China

[2] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China

关键词: complex network;    subgraph;    complementary graph;    synchronizability;   

DOI  :  10.1016/j.physd.2007.12.003

来源: Elsevier

【 摘 要 】

In this paper, subgraphs and complementary graphs are used to analyze network synchronizability. Some sharp and attainable bounds are derived 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. (C) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free