Truncation of power law behavior in "scale-free" network models due to information filtering -: art. no. 138701
Truncation of power law behavior in "scale-free" network models due to information filtering -: art. no. 138701
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DOI：
10.1103/physrevlett.88.138701
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发表时间：
2002-04-01
影响因子：
8.6
通讯作者：
Amaral, LAN
中科院分区：
文献类型：
--
作者：
Mossa, S;Barthélémy, M;Amaral, LAN
我们建立了无标度网络在信息过滤条件下增长的一般模型，即当节点只能处理网络中现有节点的一个子集的信息时。我们发现到一个节点的输入链路数目的分布遵循一个普遍的标度形式，即它以一个指数截断的指数规律衰减，该指数截断不仅由系统大小控制，而且由一个以前没有考虑过的特征，即该节点可访问的网络的子集来控制。我们用万维网的经验数据测试了我们的模型，并发现了一致的结论。
We formulate a general model for the growth of scale-free networks under filtering information conditions-that is, when the nodes can process information about only a subset of the existing nodes in the network. We find that the distribution of the number of incoming links to a node follows a universal scaling form, i.e., that it decays as a power law with an exponential truncation controlled not only by the system size but also by a feature not previously considered, the subset of the network "accessible" to the node. We test our model with empirical data for the World Wide Web and find agreement.