Degree correlations in the group preferential model

Degree correlations in the group preferential model
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群体偏好模型中的度相关性

DOI:
10.1088/1751-8113/42/27/275002
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发表时间:
2009-06
影响因子:
2.1
通讯作者:
Zhang, Zhenzhong
Zhang, Zhenzhong
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Kong, Xiangxing;Tong, Jinying;Hou, Zhenting;Zhang, Zhenzhong

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研究了群偏好模型的度相关性,在该模型中,一个链接是根据一个依赖于新顶点的m个目标顶点的度的连接概率与一个预先存在的顶点建立的.利用速率方程方法,我们得到了两顶点和三顶点度相关的渐近表达式。最后,所有的解析解成功地与计算机模拟进行了对比。
We focus on the study of degree correlations of the group preferential model, in which a link is established with a pre-existing vertex according to an attachment probability which depends on the degree of the m targeted vertices of the new vertex. By using the rate equation approach, we have obtained asymptotic expressions for two vertex and three vertex degree correlations. Finally, all analytical solutions are successfully contrasted with computer simulations.
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