STABILITY OF THE LCD MODEL  

作　　者：候振挺 谭利 史定华 

机构地区：[1]School of Mathematics,Central South University [2]Department of Mathematics,Shanghai University

出　　处：《Acta Mathematica Scientia》2010年第5期1523-1528,共6页数学物理学报（B辑英文版）

基　　金：Supported by the National Natural Science Foundation of China(10671212,60874083,10872119)

摘　　要：The growing network model with loops and multiple edges proposed by Bollobes et al. （Random Structures and Algorithms 18（2001）） is restudied from another perspective. Based on the first-passage probability of Markov chains, we prove that the degree distribution of the LCD model is power-law with degree exponent 3 as the network size grows to infinity.The growing network model with loops and multiple edges proposed by Bollobes et al. （Random Structures and Algorithms 18（2001）） is restudied from another perspective. Based on the first-passage probability of Markov chains, we prove that the degree distribution of the LCD model is power-law with degree exponent 3 as the network size grows to infinity.

关 键 词：Markov chain STABILITY POWER-LAW 

分 类 号：O157.5[理学—数学]