Kishor F. Pawar - Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, ۴۲۵ ۰۰۱, 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 introduced the notion of an edge product hypergraph. A hypergraph H is said to be an edge producthypergraph if edges of hypergraph can be labeled with distinct positive integers such that the product of all the labels of edges incident to a vertex is again an edge label of H and if the product of any collection of edges is a label of an edge in H then, they are incident to a vertex. Here we have proved some important results by which one can verify that given hypergraph is a unit edge product hypergraph or not. We also found some results on domination number and inverse domination number of edge product hypergraph and its complement.

edge product hypergraph, unit edge product hypergraph, domination number