dc.contributor |
Universitat Politècnica de Catalunya. Departament de Ciències de la Computació |
dc.contributor.author |
Díaz Cort, Josep |
dc.contributor.author |
Serna Iglesias, María José |
dc.contributor.author |
Spirakis, Paul George |
dc.date |
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.language.iso |
eng |
dc.relation |
R98-16 |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica |
dc.subject |
Parallel algorithms |
dc.title |
Sampling matchings in parallel |
dc.type |
info:eu-repo/semantics/draft |
dc.type |
info:eu-repo/semantics/report |
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. |