Time evolution of the degree distribution of model A of random attachment growing networks
Time evolution of the degree distribution of model A of random attachment growing networks
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DOI：
10.1016/j.physa.2007.05.042
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发表时间：
2007-10
影响因子：
3.3
通讯作者：
Wenchen He;Lei Feng;Lingyun Li;Changqing Xu
中科院分区：
文献类型：
--
作者：
Wenchen He;Lei Feng;Lingyun Li;Changqing Xu
对于随机增长网络，Barabás和Albert在Barabás et al. [Physica A 272（1999）173]中提出了一种模型，即模型A。本文对模型A给出了度分布主方程的微分形式，并得到了它的解析解。所得结果P（k，t）是度分布的时间演化。P（k，t）由两项组成。在给定的有限时间内，一项指数衰减，另一项反映了尺寸效应。在无限时间，度分布与巴拉巴斯和阿尔伯特的分布相同。本文还详细讨论了度分布P（k，t）的归一化问题。
For random growing networks, Barabás and Albert proposed a kind of model in Barabás et al. [Physica A 272 (1999) 173], i.e. model A. In this paper, for model A, we give the differential format of master equation of degree distribution and obtain its analytical solution. The obtained result P(k,t) is the time evolution of degree distribution. P(k,t) is composed of two terms. At given finite time, one term decays exponentially, the other reflects size effect. At infinite time, the degree distribution is the same as that of Barabás and Albert. In this paper, we also discuss the normalization of degree distribution P(k,t) in detail.