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Sampling matchings in parallel

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Díaz Cort, JosepMés informacióMés informacióMés informació
Serna Iglesias, María JoséMés informacióMés informacióMés informació
Spirakis, Paul George
Document typeResearch report
Defense date1998-03
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
We present a parallel algorithm to sample matchings from an almost uniform distribution on the set of matchings of all sizes in a graph. The technique used is based on the definition of a genetic system that converges to the uniform distribution. The system evolves according to a non-linear equation. Little is known about the convergence of these systems. We can define a non-linear system which converges to a stationary distribution under quite natural conditions. We prove convergence for the system corresponding to the almost uniform sampling of matchings in a graph (up to know the only known convergence for non-linear systems for matchings was matchings on a tree). We give empirical evidence that the system converges fast.
 
We present a parallel algorithm to sample matchings from an almost uniform distribution on the set of matchings of all sizes in a graph. The technique used is based on the definition of a genetic system that converges to the uniform distribution. The system evolves according to a non-linear equation. Little is known about the convergence of these systems. We can define a non-linear system which converges to a stationary distribution under quite natural conditions. We prove convergence for the system corresponding to the almost uniform sampling of matchings in a graph (up to know the only known convergence for non-linear systems for matchings was matchings on a tree). We give empirical evidence that the system converges fast.
CitationDiaz, J., Serna, M., Spirakis, P.G. "Sampling matchings in parallel". 1998. 
Is part ofR98-16
URIhttp://hdl.handle.net/2117/84049
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  • Departament de Ciències de la Computació - Reports de recerca [1.106]
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