Convergence of the diffusion method for weighted torus graphs using Fourier analysis

Authors:
Gregory Karagiorgos;Nikolaos M. Missirlis
Affiliations:
Department of Informatics and Telecommunications, University of Athens, Panepistimioupolis 157 84, Athens, Greece;Department of Informatics and Telecommunications, University of Athens, Panepistimioupolis 157 84, Athens, Greece
Venue:
Theoretical Computer Science
Year:
2008

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Abstract

This paper studies the diffusion method for the load balancing problem in the case of weighted torus graphs. Closed form formulae for the optimum values of the edge weights are determined using local Fourier analysis. It is shown that an extrapolated version of diffusion can become twice as fast for the stretched torus graphs.