Kishor F. Pawar - Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, ۴۲۵ ۰۰۱ M.S., India
Megha M. Jadhav - Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University Jalgaon-۴۲۵ ۰۰۱, India

In this paper, we study domination in an edge product hypergraphs and found some results on it. It is proved that theunit edge in a unit edge product hypergraph is a dominating set of hypergraph H. Later, we obtained some results which are relatives of the Nordhaus-Gaddum theorem, regarding the sums and products of domination parameters in an edge product hypergraph and their compliments.

edge product hypergraph, unit edge product hypergraph, Nordhaus-Gaddum Theorem, Domination