arXiv Open Access 2018

The eigenvalues of stochastic blockmodel graphs

Minh Tang

Lihat Sumber

Abstrak

We derive the limiting distribution for the largest eigenvalues of the adjacency matrix for a stochastic blockmodel graph when the number of vertices tends to infinity. We show that, in the limit, these eigenvalues are jointly multivariate normal with bounded covariances. Our result extends the classic result of Füredi and Komlós on the fluctuation of the largest eigenvalue for Erdős-Rényi graphs.

Topik & Kata Kunci

stat.ML cs.LG

Penulis (1)

Minh Tang

Format Sitasi

APA MLA BibTeX

Tang, M. (2018). The eigenvalues of stochastic blockmodel graphs. https://arxiv.org/abs/1803.11551

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓