Patterns of link reciprocity in directed networks
Patterns of link reciprocity in directed networks
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DOI：
10.1103/physrevlett.93.268701
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发表时间：
2004-12-31
影响因子：
8.6
通讯作者：
Loffredo, MI
中科院分区：
文献类型：
--
作者：
Garlaschelli, D;Loffredo, MI
我们解决了链路互易性的问题，即顶点对之间的两个相互链接的非随机存在。我们提出了一种新的互惠措施，允许根据相互联系之间的实际相关程度对网络进行排序。我们发现真实的网络总是相关或反相关的，并且相同类型的网络（经济，社会，细胞，金融，生态等）显示出相似的互惠值。目前的模型无法再现观测到的模式。这导致我们引入一个更一般的框架，其中相互链接以条件连接概率发生。在一些研究的网络中，我们讨论了条件连接概率的形式和互易的大小依赖性。
We address the problem of link reciprocity, the nonrandom presence of two mutual links between pairs of vertices. We propose a new measure of reciprocity that allows the ordering of networks according to their actual degree of correlation between mutual links. We find that real networks are always either correlated or anticorrelated, and that networks of the same type (economic, social, cellular, financial, ecological, etc.) display similar values of the reciprocity. The observed patterns are not reproduced by current models. This leads us to introduce a more general framework where mutual links occur with a conditional connection probability. In some of the studied networks we discuss the form of the conditional connection probability and the size dependence of the reciprocity.