左半三级Sierpinski垫片上的平均捕获时间  

The Average Trapping Time on the Left Half of Level-3 Sierpinski Gasket

作　　者：操芳 吴波[1] CAO Fang;WU Bo(School of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210023,China)

机构地区：[1]南京财经大学应用数学学院,南京210023

出　　处：《白城师范学院学报》2021年第2期30-37,共8页Journal of Baicheng Normal University

摘　　要：文章基于三级Sierpinski垫片的分形网络,考虑其受攻击后左半网络上无偏随机游走的捕获问题,进一步研究比较该攻击对残损网络与原网络上扩散效率的影响.根据该网络的自相似性,可以得到左半三级Sierpinski垫片上平均捕获时间的解析表达式.随着网络规模的增大,左半三级Sierpinski垫片与原网络上的平均捕获时间没有差别,说明对于三级Sierpinski垫片受攻击后,对网络的扩散效率基本没有影响.Based on the level-3 Sierpinski gasket,we consider the trapping problem of unbiased random walk on the left half network after attack,then The effect of this attack on the diffusion efficiency of the damaged network and the original network is further studied.According to the self-similarity of the network,the analytical expression of the average trapping time on the left half of level-3 Sierpinski gasket can be obtained.By comparison,it can be found that with the increase of the network scale,there is no difference in the average trapping time between the left half of level-3 Sierpinski gasket and the original network.The results indicate that there is little effect on the diffusion efficiency of the network whether the level-3 Sierpinski gasket is attacked.

关 键 词：自相似结构 无偏游走 左半三级Sierpinski垫片 平均捕获时间 

分 类 号：O157.5[理学—数学]