AVERAGE TRAPPING TIME ON THE 3-DIMENSIONAL 3-LEVEL SIERPINSKI GASKET NETWORK WITH A SET OF TRAP NODES

Zhizhuo Zhang () and Bo Wu
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Zhizhuo Zhang: School of Mathematics, Southeast University, Nanjing, P. R. China
Bo Wu: School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 07, 1-12

Abstract: As a basic dynamic feature on complex networks, the property of random walk has received a lot of attention in recent years. In this paper, we first studied the analytical expression of the mean global first passage time (MGFPT) on the 3-dimensional 3-level Sierpinski gasket network. Based on the self-similar structure of the network, the correlation between the MGFPT and the average trapping time (ATT) is found, and then the analytical expression of the ATT is obtained. Finally, by establishing a joint network model, we further give the standard process of solving the analytical expression of the ATT when there is a set of trap nodes in the network. By illustrating examples and numerical simulations, it can be proved that when the trap node sets are different, the ATT will be quite different, but the super-linear relationship with the number of iterations will not be changed.

Keywords: Average Trapping Time; Mean Global First Passage Time; 3-Dimensional 3-Level Sierpinski Gasket (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22501626

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