Edge Stable Sets and Secured Edge Stable Sets in Hypergraphs

Abstract

In this paper, we have proved several results regarding edge stable sets and maximal edge stable sets in hypergraphs. We have also proved various results regarding edge stable sets and maximal edge stable sets in partial subhypergraphs. We have introduced the concept of secured edge stable set, maximum secured edge stable set and is 1 Set in this paper and proved several results about them.