Goh K-I, Kahng B, Kim D
School of Physics and Center for Theoretical Physics, Seoul National University NS50, Seoul 151-747, Korea.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 2):017103. doi: 10.1103/PhysRevE.72.017103. Epub 2005 Jul 26.
We introduce the notion of globally updating evolution for a class of weighted networks, in which the weight of a link is characterized by the amount of data packet transport flowing through it. By noting that the packet transport over the network is determined nonlocally, this approach can explain the generic nonlinear scaling between the strength and the degree of a node. We demonstrate by a simple model that the strength-driven evolution scheme recently introduced can be generalized to a nonlinear preferential attachment rule, generating the power-law behaviors in degree and in strength simultaneously.
我们引入了一类加权网络的全局更新演化概念，其中链路的权重由流经它的数据包传输量来表征。通过注意到网络上的数据包传输是由非局部因素决定的，这种方法可以解释节点强度和度之间一般的非线性比例关系。我们通过一个简单模型证明，最近引入的强度驱动演化方案可以推广到非线性偏好依附规则，同时在度和强度上产生幂律行为。
