Super-simple (v, 4, 2) directed designs and a lower bound for the minimum size of their defining set
Combinatorics
2015-08-04 v1
Abstract
In this paper, we show that for all v\pmod 1 (mod 3), there exists a super- simple (v, 4, 2) directed design. Also, we show that for these parameters there exists a super-simple (v, 4, 2) directed design whose each defining set has at least a half of the blocks.
Keywords
Cite
@article{arxiv.1508.00098,
title = {Super-simple (v, 4, 2) directed designs and a lower bound for the minimum size of their defining set},
author = {M. Boostan and S. Golalizadeh and N. Soltankhah},
journal= {arXiv preprint arXiv:1508.00098},
year = {2015}
}
Comments
17 pages. Discrete Applied Mathematics(accepted)