Partial Domination of Hypergraphs.

Let H = (V , E) be a hypergraph. A subset S ⊆ V is called F -isolating of H if the induced subhypergraph H [ V \ N [ S ] ] contains no any member in F as a subhypergraph. The F -isolation number of H is the minimum cardinality of an F -isolating set of H, denoted by ι (H , F) . A subset S ⊆ V is an isolating set of H if V \ N [ S ] is an independent set of H. The cardinality of a minimum isolating set of H is called the isolation number of H, denoted by ι (H) . In this paper, we introduce the F -isolating set of hypergraphs and give some results about the F -isolation number of hypergraphs. [ABSTRACT FROM AUTHOR]