English

Network synchronizability analysis: the theory of subgraphs and complementary graphs

Networking and Internet Architecture 2009-11-13 v1 Graphics

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.

Keywords

Cite

@article{arxiv.0708.0660,
  title  = {Network synchronizability analysis: the theory of subgraphs and complementary graphs},
  author = {Zhisheng Duan and Chao Liu and Guanrong Chen},
  journal= {arXiv preprint arXiv:0708.0660},
  year   = {2009}
}

Comments

13 pages, 7 figures

R2 v1 2026-06-21T09:04:55.900Z