dc.contributor.author Díaz Cort, Josep dc.contributor.author Serna Iglesias, María José dc.contributor.author Spirakis, Paul George dc.contributor.other Universitat Politècnica de Catalunya. Departament de Ciències de la Computació dc.date.accessioned 2016-03-09T12:56:54Z dc.date.available 2016-03-09T12:56:54Z dc.date.issued 1998-03 dc.identifier.citation Diaz, J., Serna, M., Spirakis, P.G. "Sampling matchings in parallel". 1998. dc.identifier.uri http://hdl.handle.net/2117/84049 dc.description.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. dc.description.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. dc.format.extent 12 p. dc.language.iso eng dc.relation.ispartofseries R98-16 dc.subject Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica dc.subject.other Parallel algorithms dc.title Sampling matchings in parallel dc.type External research report dc.rights.access Open Access local.identifier.drac 515092 dc.description.version Preprint local.citation.author Diaz, J.; Serna, M.; Spirakis, P.G.
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