LIMIT THEOREMS FOR EIGENVECTORS OF THE NORMALIZED LAPLACIAN FOR RANDOM GRAPHS
LIMIT THEOREMS FOR EIGENVECTORS OF THE NORMALIZED LAPLACIAN FOR RANDOM GRAPHS
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Publisher
Hayward: Institute of Mathematical Statistics
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Language
English
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Hayward: Institute of Mathematical Statistics
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Contents
We prove a central limit theorem for the components of the eigenvectors corresponding to the d largest eigenvalues of the normalized Laplacian matrix of a finite dimensional random dot product graph. As a corollary, we show that for stochastic blockmodel graphs, the rows of the spectral embedding of the normalized Laplacian converge to multivariate...
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Full title
LIMIT THEOREMS FOR EIGENVECTORS OF THE NORMALIZED LAPLACIAN FOR RANDOM GRAPHS
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TN_cdi_proquest_journals_2108743929
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2108743929
Other Identifiers
ISSN
0090-5364
E-ISSN
2168-8966
DOI
10.1214/17-AOS1623
