Structure of growing networks with preferential linking
Structure of growing networks with preferential linking
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DOI：
10.1103/physrevlett.85.4633
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发表时间：
2000-11-20
影响因子：
8.6
通讯作者：
Samukhin, AN
中科院分区：
文献类型：
--
作者：
Dorogovtsev, SN;Mendes, JFF;Samukhin, AN
新的链接的优先连接的增长网络的模型进行了推广，包括初始吸引力的网站。我们找到了在长时间极限P（q）中站点的传入链接数的平稳分布的确切形式，以及在时间t（每单位时间增加一个站点）时站点s的平均连通性（q）在bar（s，t）上的长时间极限。在长时间内，P（q）在q -->无穷大时类似于q（-gamma），并且（q）在bar（s，t）上在s/t --> 0时类似于（s/t）（-beta），其中指数gamma根据站点的初始吸引力从2变化到无穷大。我们证明了指数之间的关系beta（gamma - 1）= 1是普适的。
The model of growing networks with the preferential attachment of new links is generalized to include initial attractiveness of sites. We find the exact form of the stationary distribution of the number of incoming links of sites in the limit of long times, P(q), and the long-time limit of the average connectivity (q) over bar (s, t) of a site s at time t (one site is added per unit of time). At long times, P(q) similar to q(-gamma) at q --> infinity and (q) over bar (s, t) similar to (s/t)(-beta) at s/t --> 0, where the exponent gamma varies from 2 to infinity depending on the initial attractiveness of sites. We show that the relation beta(gamma - 1) = 1 between the exponents is universal.