We propose a definition of hub in complex networks by using the eigenvectors of the Laplacian matrix, and suggest a method of detecting hubs. The proposed definition provides a different concept from the classical measures such as the centrality or degree. Also, a method of determining the number of hubs is suggested using a scree plot. Illustrative examples based on artificial data sets and real data sets are given.

中文翻译：

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用拉普拉斯矩阵检测复杂网络中的集线器

通过使用拉普拉斯矩阵的特征向量，我们提出了复杂网络中枢纽的定义，并提出了一种检测枢纽的方法。提议的定义提供了与经典度量（例如中心度或学位）不同的概念。此外，建议使用scree图确定集线器数量的方法。给出了基于人工数据集和真实数据集的说明性示例。