Network synchronizability analysis: the theory of subgraphs and complementary graphs

Details Network synchronizability analysis: the theory of subgraphs and complementary graphs Network synchronizability analysis: the theory of subgraphs and complementary graphs

2007-08-05

arxiv.org/abs/0708.0660v1

Computer Science

Networking and Internet Architecture

13 pages, 7 figures

Scientific paper

10.1016/j.physd.2007.12.003

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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