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Statistical test for detecting community structure in real-valued edge-weighted graphs
Tomoki Tokuda · 2016-10-13 · via math.ST updates on arXiv.org

We propose a novel method to test the existence of community structure of undirected real-valued edge-weighted graph. The method is based on Wigner semicircular law on the asymptotic behavior of the random distribution for eigenvalues of a real symmetric matrix. We provide a theoretical foundation for this method and report on its performance in synthetic and real data, suggesting that our method outperforms other state-of-the-art methods.

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