Generating combinatorial sets with given properties

@article{Grebennik2012GeneratingCS,
  title={Generating combinatorial sets with given properties},
  author={Igor V. Grebennik and Oleksandr S. Lytvynenko},
  journal={Cybernetics and Systems Analysis},
  year={2012},
  volume={48},
  pages={890-898}
}
Special classes of combinatorial sets called k-sets are analyzed. An algorithm for the generation of k-sets is proposed. It is based on a unified algorithm for generating base combinatorial sets. The possibilities of using it to generate various base sets are considered. The complexity of the algorithms is assessed. The results of computational experiments are analyzed.