Correlations in weighted networks
Correlations in weighted networks
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DOI：
10.1103/physreve.74.055101
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发表时间：
2006-11-01
影响因子：
2.4
通讯作者：
Pastor-Satorras, Romualdo
中科院分区：
文献类型：
--
作者：
Serrano, M. Angeles;Boguna, Marian;Pastor-Satorras, Romualdo
我们发展了一种统计理论来描述加权网络中的相关性。我们定义了量化相关性的适当度量，并证明了由于结构约束的存在，严格不相关的加权网络不存在。我们还介绍了一种生成任意P(k，S)作为零模型的最大随机加权网络的算法。我们对真实网络的测量应用揭示了权重在正确理解和建模这些异类系统中的重要性。
We develop a statistical theory to characterize correlations in weighted networks. We define the appropriate metrics quantifying correlations and show that strictly uncorrelated weighted networks do not exist due to the presence of structural constraints. We also introduce an algorithm for generating maximally random weighted networks with arbitrary P(k,s) to be used as null models. The application of our measures to real networks reveals the importance of weights in a correct understanding and modeling of these heterogeneous systems.