Finding extremal sets on the GPU

Abstract

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