o Naserian - Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran;
a.h Shokouhi - Department of Information Technology, Payame Noor University, Tehran, Iran;

A k-hypergraph with vertex set V and edge set E is called t-regular if every t-element subset of V lies in the same number of elements of E. In this note, we prove the existence of a new family of 3-regular self-complementary khypergraphs for k=4,5.

k-hypergraph, self-complementary hypergraph, t-regular hypergraph