Abstract
A large number of research results show that the synchronizability of complex networks is closely related to the topological structure. Some typical complex network models, such as random networks, small-world networks, BA scale-free network, etc, have totally different synchronizability. In this paper, a kind of hierarchical network synchronizability of self-similar module structures was studied, with more focus on the effect of the initial size of the module and network layer to the synchronizability and further research on the problem of network synchronous optimization. The Law of Segmentation Method was employed to reduce the maximum node betweenness and the Law of Parallel Reconnection employed to improve the ability of synchronizability of complex network by reducing the average path length of networks. Meanwhile, the effectiveness of proposed methods was verified through a lot of numerically simulative experiments.
Highlights
A large number of empirical studies show that many complex networks in reality, such as the Internet, gene regulatory networks
We mainly focus on the effects of initial module sizes of hierarchy network and layers on network synchronizability, and further improve the ability of hierarchy network synchronization by changing two network structural characteristics—the biggest betweenness of the hierarchy network and average distances
This paper mainly studied that a hierarchical network of self-similar module structure synchronizability is associated with the initial module size and the layer number of network
Summary
A large number of empirical studies show that many complex networks in reality, such as the Internet, gene regulatory networks. Internet interpersonal relationship networks have two common features, that is small world effect and scale-free property. Many networks have the Hierarchical modularity [1] [2]. These kinds of networks are composed of some internally intensive modules. The connections between modules are relatively loose, organized according to some hierarchical relationship.
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