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Research articles

ScienceAsia 49 (2023): 386-390 |doi: 10.2306/scienceasia1513-1874.2023.004


Average trapping time on the weighted hierarchical triangle network with primary node iteration


Mei Lia, Dongxiang Lub,*

 
ABSTRACT:     In this paper, we consider the average trapping time (ATT) on the weighted hierarchical triangle network with primary node iteration. Firstly, the structure with primary node iteration is shown, then ATT is studied and the exact expression is obtained based on the self-similarity of the network. The results illustrate that ATT grows linearly or sublinearly with the iterative times at different weights and with increasing weights. Besides, compared to the network without primary node iteration, the network with primary node iteration is more efficient in random walks and the difference is greater with increasing weights. When the weight is small, there is little difference.

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a School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023 China
b Department of Science, Technology and Industry, Yancheng Teachers University, Yancheng 224002 China

* Corresponding author, E-mail: Ludx@yctu.edu.cn

Received 7 Mar 2022, Accepted 20 Oct 2022