Local preferential attachment model for hierarchical networks

Local preferential attachment model for hierarchical networks
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分层网络的局部优先连接模型

DOI:
10.1016/j.physa.2008.12.028
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发表时间:
2009-04
期刊:
Physica A: Statistical Mechanics and its Applications
影响因子:
--
通讯作者:
Guo, Jin-Li
Guo, Jin-Li
中科院分区:
其他
文献类型:
--
作者:
Yang, Han-Xin;Wang, Li-Na;Zhou, Tao;Guo, Jin-Li

文献摘要

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在现实生活中的网络中,进入者可能只会因为有限的信息而连接到局部区域中的少数其他人,并且局部区域中的个人可能具有密切的关系。因此,我们提出了一个局部偏好连接模型。在这里,局域网代表一个节点及其所有邻居,新节点在局部区域执行非线性优先连接,π(ki)kiα。分析得到了稳定度分布和聚类度相关性。随着α的增大,聚集系数增大,而扩散系数由正变负.此外,通过调整参数α,该模型可以生成从指数分布到幂律分布的不同类型的度分布。与α无关的层次组织是该模型最显著的特征。
In real-life networks, incomers may only connect to a few others in a local area for their limited information, and individuals in a local area are likely to have close relations. Accordingly, we propose a local preferential attachment model. Here, a local-area-network stands for a node and all its neighbors, and the new nodes perform nonlinear preferential attachment, π(ki)∝kiα, in local areas. The stable degree distribution and clustering-degree correlations are analytically obtained. With the increasing of α, the clustering coefficient increases, while assortativity decreases from positive to negative. In addition, by adjusting the parameter α, the model can generate different kinds of degree distribution, from exponential to power-law. The hierarchical organization, independent of α, is the most significant character of this model.
DOI: 10.1007/b94627
发表时间: 2005
期刊: PLoS ONE
影响因子: 3.7
作者:
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