Controlling the trapping efficiency in a family of scale-free tree networks
Controlling the trapping efficiency in a family of scale-free tree networks
复制标题
控制一系列无标度树网络中的捕获效率
DOI：
10.1142/s0217979218502247
复制
发表时间：
2018-08
影响因子：
1.7
通讯作者：
Wu ZK
中科院分区：
文献类型：
--
作者：
Gao Yu;Wu Zikai;Wu ZK
Efficiently controlling the trapping process is very significant in the study of trapping problem in diverse dynamic processes. In this paper, we explore the trapping efficiency on a family of scale-free tree networks with a deep trap positioned at an initial node, which is controlled by three different strategies. In the first technique, the transition probability is modified by an edge weight parameter. In the second method, the transition probability is controlled by a delay parameter. In the third approach, we use the delay parameter and weight parameter simultaneously to control the trapping process. For all the three control methods, the analytical results of average trapping time (ATT) exactly agree with the numerical results. The result of the first control strategy shows that the average trapping time can scale sublinearly, linearly or superlinearly by modifying the weight parameter. The analytic expression of the ATT in the second method shows that the delay parameter can only modify the main coefficient of ATT, but cannot change the dominant behavior of trapping efficiency. The explicit expression of average trapping time when random walk on scale-free tree network is controlled by the third method shows that it is a fine control. We can get desired trapping efficiency by changing the weight parameter and the delay parameter simultaneously. This work provides a better understanding of controlling the trapping process in a family of scale-free tree networks.
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DOI：
10.1103/physreve.85.046110
发表时间：
2012-04
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
S. Hwang;D.-S. Lee;B. Kahng
通讯作者：
S. Hwang;D.-S. Lee;B. Kahng
影响因子：
2.4
作者：
Tejedor, V.;Benichou, O.;Voituriez, R.
通讯作者：
Voituriez, R.
影响因子：
4.4
作者：
Shoon-Kyung Kim
通讯作者：
Shoon-Kyung Kim
DOI：
10.1103/physreve.90.022816
发表时间：
2014-08
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
Zhongzhi Zhang;Xiaoye Guo;Yuan Lin
通讯作者：
Zhongzhi Zhang;Xiaoye Guo;Yuan Lin
DOI：
10.1002/9783527627981.ch2
发表时间：
2009-08
期刊：
--
影响因子：
--
作者：
S. Thurner
通讯作者：
S. Thurner