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Second-order centrality correlation in scale-free networks

Author

Listed:
  • Meilei Lv

    (College of Electrical and Information Engineering, Quzhou University, No. 78, Road Jiuhua, Quzhou 324000, Zhejiang, P. R. China)

  • Xinling Guo

    (Institute of Communication and Electronic Engineering, Qingdao Technological University, No. 11, Fushun Road, Qingdao 266033, Shandong, P. R. China)

  • Jiaquan Chen

    (College of Electrical and Information Engineering, Quzhou University, No. 78, Road Jiuhua, Quzhou 324000, Zhejiang, P. R. China)

  • Zhe-Ming Lu

    (School of Aeronautics and Astronautics, Zhejiang University, No. 38, Zheda Road, Hangzhou 310027, Shandong, P. R. China)

  • Tingyuan Nie

    (Institute of Communication and Electronic Engineering, Qingdao Technological University, No. 11, Fushun Road, Qingdao 266033, Shandong, P. R. China)

Abstract

Scale-free networks in which the degree displays a power-law distribution can be classified into assortative, disassortative, and neutral networks according to their degree–degree correlation. The second-order centrality proposed in a distributed computation manner is quick-calculated and accurate to identify critical nodes. We explore the second-order centrality correlation (SOC) for each type of the scale-free networks. The SOC–SOC correlation in assortative network and neutral network behaves similarly to the degree–degree correlation, while it behaves an apparent difference in disassortative networks. Experiments show that the invulnerability of most of scale-free networks behaves similarly under the node removal ordering by SOC centrality and degree centrality, respectively. The netscience network and the Yeast network behave a little differently because they are native disconnecting networks.

Suggested Citation

  • Meilei Lv & Xinling Guo & Jiaquan Chen & Zhe-Ming Lu & Tingyuan Nie, 2015. "Second-order centrality correlation in scale-free networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(10), pages 1-10.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:10:n:s0129183115501168
    DOI: 10.1142/S0129183115501168
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    Cited by:

    1. Dong, Xuefan & Liu, Yijung & Wu, Chao & Lian, Ying, 2019. "The topology of scale-free networks with an S-shaped nonlinear growth characteristic," Chaos, Solitons & Fractals, Elsevier, vol. 121(C), pages 137-148.

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