Hearing the clusters in a graph: A distributed algorithm

  title={Hearing the clusters in a graph: A distributed algorithm},
  author={Tuhin Sahai and Alberto Speranzon and Andrzej Banaszuk},
We propose a novel distributed algorithm to cluster graphs. The algorithm recovers the solution obtained from spectral clustering without the need for expensive eigenvalue/vector computations. We prove that, by propagating waves through the graph, a local fast Fourier transform yields the local component of every eigenvector of the Laplacian matrix, which are used to cluster graphs. For large graphs, the proposed algorithm is orders of magnitude faster than random walk based approaches. We… CONTINUE READING
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A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory

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  • Czechoslovak Mathematical Journal, vol. 25, no. 4…
  • 1975
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