Growing network with local rules:: Preferential attachment, clustering hierarchy, and degree correlations -: art. no. 056104
Growing network with local rules:: Preferential attachment, clustering hierarchy, and degree correlations -: art. no. 056104
复制标题
DOI：
10.1103/physreve.67.056104
复制
发表时间：
2003-05-01
影响因子：
2.4
通讯作者：
Vázquez, A
中科院分区：
文献类型：
--
作者：
Vázquez, A
线性偏好连接假说已经被证明是相当成功地解释存在的网络幂律度分布。然后，确定该机制是否是基于当地规则的一般原则的结果非常重要。在这项工作中，它声称，一个有效的线性偏好连接是自然的结果，不断增长的网络模型的基础上，当地的规则。研究还表明，局部模型为最近在复杂网络中观察到的聚类层次结构和度相关性等其他属性提供了解释。这些结论是基于不同的本地规则，包括一些模型已经在文献中提出的分析和数值结果。
The linear preferential attachment hypothesis has been shown to be quite successful in explaining the existence of networks with power-law degree distributions. It is then quite important to determine if this mechanism is the consequence of a general principle based on local rules. In this work it is claimed that an effective linear preferential attachment is the natural outcome of growing network models based on local rules. It is also shown that the local models offer an explanation for other properties like the clustering hierarchy and degree correlations recently observed in complex networks. These conclusions are based on both analytical and numerical results for different local rules, including some models already proposed in the literature.