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Detection of hubs in complex networks by the Laplacian matrix

Title
Detection of hubs in complex networks by the Laplacian matrix
Author(s)
Hong, YoungheeChang, IksooKim, Choongrak
Issued Date
2021-06
Citation
Journal of the Korean Statistical Society, v.50, no.2, pp.431 - 446
Type
Article
Author Keywords
Adjacency matrixConditional dependencyEigenvalueEigenvector
Keywords
DIMENSIONAL COVARIANCE ESTIMATIONLARGEST EIGENVALUEEXPRESSIONSELECTIONREGRESSIONENSEMBLESRATESMODEL
ISSN
1226-3192
Abstract
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. © 2020, Korean Statistical Society.
URI
http://hdl.handle.net/20.500.11750/12435
DOI
10.1007/s42952-020-00087-0
Publisher
Springer
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Department of Brain Sciences Theoretical and Computational Biophysics Laboratory 1. Journal Articles

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