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Fast ranking nodes importance in complex networks based on LS-SVM method

Author

Listed:
  • Wen, Xiangxi
  • Tu, Congliang
  • Wu, Minggong
  • Jiang, Xurui

Abstract

Achieving high accuracy and comprehensiveness in node importance evaluation of complex networks is time-consuming. To solve this problem, a method based on Least Square Support Vector Machine (LS-SVM) was proposed. Firstly, four complicated importance indicators which reflect the node importance globally and comprehensively were selected. Then analytic hierarchy process (AHP) method was applied to obtain the node’s importance evaluation. On this basis, three simple indicators with low computational complexity were proposed, and LS-SVM was adopted to find the mapping rules between simple indicators and AHP evaluation. The experiments on artificial network and actual network show the validity of proposed method: the evaluation based on complicated indicators is consistent with reality and reflects node importance accurately; simple indicators evaluation by LS-SVM saved a lot of computational time and improved the evaluating efficiency. Our method can provide guidance on influential node identification in large scale complex networks.

Suggested Citation

  • Wen, Xiangxi & Tu, Congliang & Wu, Minggong & Jiang, Xurui, 2018. "Fast ranking nodes importance in complex networks based on LS-SVM method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 11-23.
    • Handle: RePEc:eee:phsmap:v:506:y:2018:i:c:p:11-23
    DOI: 10.1016/j.physa.2018.03.076
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    References listed on IDEAS

    as
    1. Jia, Tao & Qin, Kun & Shan, Jie, 2014. "An exploratory analysis on the evolution of the US airport network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 413(C), pages 266-279.
    2. Apichat Sopadang & Ruth Banomyong, 2016. "Combining AHP and TOPSIS method for logistics hub selection," International Journal of Management and Decision Making, Inderscience Enterprises Ltd, vol. 15(2), pages 134-153.
    3. Churchill, Andrew M. & Lovell, David J., 2012. "Coordinated aviation network resource allocation under uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 19-33.
    4. Ni, Shunjiang & Weng, Wenguo & Zhang, Hui, 2011. "Modeling the effects of social impact on epidemic spreading in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4528-4534.
    5. Tang, Jinjun & Wang, Yinhai & Wang, Hua & Zhang, Shen & Liu, Fang, 2014. "Dynamic analysis of traffic time series at different temporal scales: A complex networks approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 303-315.
    6. Lordan, Oriol & Sallan, Jose M. & Escorihuela, Nuria & Gonzalez-Prieto, David, 2016. "Robustness of airline route networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 18-26.
    7. Li, Junqiu & Wang, Xingyuan & Eustace, Justine, 2013. "Detecting overlapping communities by seed community in weighted complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(23), pages 6125-6134.
    8. Wang, Xingyuan & Zhou, Wenjie & Li, Rui & Cao, Jianye & Lin, Xiaohui, 2018. "Improving robustness of interdependent networks by a new coupling strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1075-1080.
    9. Cui, Yaozu & Wang, Xingyuan & Li, Junqiu, 2014. "Detecting overlapping communities in networks using the maximal sub-graph and the clustering coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 85-91.
    10. Tang, Jinjun & Zhang, Shen & Chen, Xinqiang & Liu, Fang & Zou, Yajie, 2018. "Taxi trips distribution modeling based on Entropy-Maximizing theory: A case study in Harbin city—China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 430-443.
    11. Tang, Jinjun & Liu, Fang & Zhang, Weibin & Zhang, Shen & Wang, Yinhai, 2016. "Exploring dynamic property of traffic flow time series in multi-states based on complex networks: Phase space reconstruction versus visibility graph," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 635-648.
    12. Tang, Jinjun & Wang, Yinhai & Liu, Fang, 2013. "Characterizing traffic time series based on complex network theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4192-4201.
    13. Li, Dongyan & Wang, Xingyuan & Huang, Penghe, 2017. "A fractal growth model: Exploring the connection pattern of hubs in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 200-211.
    14. Wang, Xingyuan & Li, Junqiu, 2013. "Detecting communities by the core-vertex and intimate degree in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(10), pages 2555-2563.
    15. Wang, Xingyuan & Cao, Jianye & Li, Rui & Zhao, Tianfang, 2017. "A preferential attachment strategy for connectivity link addition strategy in improving the robustness of interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 412-422.
    16. Yan, Ying & Zhang, Shen & Tang, Jinjun & Wang, Xiaofei, 2017. "Understanding characteristics in multivariate traffic flow time series from complex network structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 149-160.
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    2. Wang, Ning & Gao, Ying & He, Jia-tao & Yang, Jun, 2022. "Robustness evaluation of the air cargo network considering node importance and attack cost," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
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    4. Sheng, Jinfang & Dai, Jinying & Wang, Bin & Duan, Guihua & Long, Jun & Zhang, Junkai & Guan, Kerong & Hu, Sheng & Chen, Long & Guan, Wanghao, 2020. "Identifying influential nodes in complex networks based on global and local structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
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