A new proof of a Colbourn–Rosa problem Original Research Article

By an SCDTS(v), we mean a self-converse directed triple system of order v. The existence problem for an SCDTS(v) was posed by Colbourn and Rosa and solved completely by Kang et al. In this paper, we give a short new proof for this problem. Furthermore, we provide a complete solution to the existence problem for a self-converse maximum directed triple packing and a self-converse minimum directed triple covering of order v.