Title of article :
Some New Families of 3-Regular Self-complementary k-Hypergraphs
Author/Authors :
Emami ، Mojgan Department of Mathematics - University of Zanjan , Naserian ، Ozra Department of Mathematics - Islamic Azad University, zanjan branch , Shokouhi ، Amir Hossein School of Computer Engineering - Iran University of Science Technology (iUST)
Abstract :
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 give the necessary and sufficient conditions for the existence of some new families of 3-regular self-complementary k-hypergraphs for k = 4, 5, 6, 7.
Keywords :
k , hypergraph , Self , complementary hypergraph , t , regular hypergraph ,
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society