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Weighted trapping time of weighted directed treelike network

Author

Listed:
  • Meifeng Dai

    (Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013, P. R. China)

  • Yongbo Hou

    (Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013, P. R. China)

  • Tingting Ju

    (Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013, P. R. China)

  • Changxi Dai

    (Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013, P. R. China)

  • Yu Sun

    (Institute of Applied System Analysis, Jiangsu University, Zhenjiang 212013, P. R. China)

  • Weiyi Su

    (#x2020;Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China)

Abstract

With the deepening of research on complex networks, many properties of complex networks are gradually studied, for example, the mean first-passage times, the average receive times and the trapping times. In this paper, we further study the average trapping time of the weighted directed treelike network constructed by an iterative way. Firstly, we introduce our model inspired by trade network, each edge ei,j in undirected network is replaced by two directed edges with weights wi,j and wj,i. Then, the trap located at central node, we calculate the weighted directed trapping time (WDTT) and the average weighted directed trapping time (AWDTT). Remarkably, the WDTT has different formulas for even generations and odd generations. Finally, we analyze different cases for weight factors of weighted directed treelike network.

Suggested Citation

  • Meifeng Dai & Yongbo Hou & Tingting Ju & Changxi Dai & Yu Sun & Weiyi Su, 2020. "Weighted trapping time of weighted directed treelike network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 31(08), pages 1-15, August.
    • Handle: RePEc:wsi:ijmpcx:v:31:y:2020:i:08:n:s0129183120501089
    DOI: 10.1142/S0129183120501089
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