The Mean Time to Absorption on Horizontal Partitioned Sierpinski Gasket Networks  

作　　者：Zhizhuo Zhang Bo Wu Zuguo Yu 

机构地区：[1]School of Mathematics,Southeast University,Nanjing,Jianagsu 211189,China [2]School of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing,Jiangsu 210023,China [3]Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education and Hunan Key Laboratory for Computation and Simulation in Science and Engineering,Xiangtan University,Xiangtan,Hunan 411105,China

出　　处：《Analysis in Theory and Applications》2024年第1期1-21,共21页分析理论与应用（英文刊）

基　　金：supported by National Natural Science Foundations of China Grant(Nos.12026214,11871061 and 12026213);Natural Science Research Major Project of Higher Education in Jiangsu Province(No.17KJA120002);the 333 Project of Jiangsu Province.

摘　　要：The random walk is one of the most basic dynamic properties of complex networks,which has gradually become a research hotspot in recent years due to its many applications in actual networks.An important characteristic of the random walk is the mean time to absorption,which plays an extremely important role in the study of topology,dynamics and practical application of complex networks.Analyzing the mean time to absorption on the regular iterative self-similar network models is an important way to explore the influence of self-similarity on the properties of random walks on the network.The existing literatures have proved that even local self-similar structures can greatly affect the properties of random walks on the global network,but they have failed to prove whether these effects are related to the scale of these self-similar structures.In this article,we construct and study a class of Horizontal Par-titioned Sierpinski Gasket network model based on the classic Sierpinski gasket net-work,which is composed of local self-similar structures,and the scale of these structures will be controlled by the partition coefficient k.Then,the analytical expressions and approximate expressions of the mean time to absorption on the network model are obtained,which prove that the size of the self-similar structure in the network will directly restrict the influence of the self-similar structure on the properties of random walks on the network.Finally,we also analyzed the mean time to absorption of different absorption nodes on the network tofind the location of the node with the highest absorption efficiency.

关 键 词：Mean time to absorption self-similar network Sierpinski Gasket 

分 类 号：O17[理学—数学]