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Wave equation based algorithm for distributed eigenvector computation

Published • Dec 1, 2010
Authors:
Tuhin Sahai
,
Alberto Speranzon
,
Andrzej Banaszuk

Abstract

We propose a novel distributed algorithm to compute eigenvectors and eigenvalues of the graph Laplacian matrix L. We prove that, by propagating waves through the graph, a local fast Fourier transform yields the local component of every eigenvector of L. For large graphs, the proposed algorithm is or...

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