Dorogovtsev S N, Mendes J F
Departamento de Física and Centro de Física do Porto, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Feb;63(2 Pt 2):025101. doi: 10.1103/PhysRevE.63.025101. Epub 2001 Jan 18.
Motivated by data on the evolution of the Internet and World Wide Web we consider scenarios of self-organization of nonlinearly growing networks into free-scale structures. We find that the accelerating growth of networks establishes their structure. For growing networks with preferential linking and increasing density of links, two scenarios are possible. In one of them, the value of the exponent gamma of the distribution of the number of incoming links is between 3/2 and 2. In the other scenario, gamma>2 and the distribution is necessarily nonstationary.
受互联网和万维网发展数据的启发，我们考虑了非线性增长网络自组织成无标度结构的情形。我们发现网络的加速增长决定了它们的结构。对于具有优先连接和不断增加的链接密度的增长网络，有两种可能的情形。其中一种情形是，入度链接数分布的指数γ的值在3/2和2之间。在另一种情形中，γ>2且分布必然是非平稳的。
