Finding extremal sets on the GPU

The extremal sets of a family F of sets consist of all sets of F that are maximal or minimal with respect to the partial order induced by the subset relation in F. In this paper we present efficient parallel GPU-based algorithms, designed under CUDA architecture, for finding the extremal sets of a f...

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Bibliographic Details
Authors: Fort, Marta, Sellarès i Chiva, Joan Antoni, Valladares Cereceda, Ignacio
Format: article
Status:Published version
Publication Date:2014
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/11980
Online Access:http://hdl.handle.net/10256/11980
Access Level:Embargoed access
Keyword:Infografia
Computer graphics
Algorismes paral·lels
Parallel algorithms
Description
Summary:The extremal sets of a family F of sets consist of all sets of F that are maximal or minimal with respect to the partial order induced by the subset relation in F. In this paper we present efficient parallel GPU-based algorithms, designed under CUDA architecture, for finding the extremal sets of a family F of sets. The complexity analysis of the presented algorithms together with experimental results showing the efficiency and scalability of the approach is provided