Random Walks on Deterministic Weighted Scale-Free Small-World Networks with a Perfect Trap

被引:3
作者
Jing Xing-Li [1 ]
Ling Xiang [1 ]
Hu Mao-Bin [2 ]
Shi Qing [1 ]
机构
[1] Hefei Univ Technol, Sch Transportat Engn, Hefei 230009, Peoples R China
[2] Univ Sci & Technol China, Sch Engn Sci, Hefei 230026, Peoples R China
基金
中国国家自然科学基金;
关键词
Compendex;
D O I
10.1088/0256-307X/31/8/080504
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Random walks are the most fundamental process among various dynamical processes, and most previous works focused on binary networks. This work studies random walks on deterministic weighted scale-free small-world networks with a perfect trap. We derive an explicit expression of the mean first passage time on the network with a trap. Meanwhile, we present the evolutionary rule for the first passage time when the network grows. The study can be useful for understanding the random walks on weighted networks.
引用
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页数:4
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