On edge product hypergraphs

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.

Keywords:

edge product hypergraph , unit edge product hypergraph , domination number