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Statistical test for detecting community structure in real-valued edge-weighted graphs
1Okinawa Institute of Science and Technology Graduate University, 1919-1, Tancha, Onna-son, Okinawa, Japan.
Abstract:
We propose a novel method to test the existence of community structure in undirected, real-valued, edge-weighted graphs. The method is based on the asymptotic behavior of extreme eigenvalues of a real symmetric edge-weight matrix. We provide a theoretical foundation for this method and report on its performance using synthetic and real data, suggesting that this new method outperforms other state-of-the-art methods.
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