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Network skeleton for synchronization: Identifying redundant connections

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  • Zhang, Cheng-Jun
  • Zeng, An

Abstract

Synchronization is an important dynamical process on complex networks with wide applications. In this paper, we design a greedy link removal algorithm and find that many links in networks are actually redundant for synchronization, i.e. the synchronizability of the network is hardly affected if these links are removed. Our analysis shows that homogeneous networks generally have more redundant links than heterogeneous networks. We denote the reduced network with the minimum number of links to preserve synchronizability (eigenratio of the Laplacian matrix) of the original network as the synchronization backbone. Simulating the Kuramoto model, we confirm that the network synchronizability is effectively preserved in the backbone. Moreover, the topological properties of the original network and backbone are compared in detail.

Suggested Citation

  • Zhang, Cheng-Jun & Zeng, An, 2014. "Network skeleton for synchronization: Identifying redundant connections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 180-185.
    • Handle: RePEc:eee:phsmap:v:402:y:2014:i:c:p:180-185
    DOI: 10.1016/j.physa.2014.02.002
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    Cited by:

    1. Wei, Bo & Liu, Jie & Wei, Daijun & Gao, Cai & Deng, Yong, 2015. "Weighted k-shell decomposition for complex networks based on potential edge weights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 277-283.
    2. Wang, Junyi & Hou, Xiaoni & Li, Kezan & Ding, Yong, 2017. "A novel weight neighborhood centrality algorithm for identifying influential spreaders in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 475(C), pages 88-105.

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