• PATCHES AND RESTRICTED HYPERGRAPHS

Abstract

A partial hypergraph (of a given simple hypergraph) has the property that each hyperedge is contained in the smaller vertex set on which this partial hypergraph is built.  But this property does not hold for arbitrary subsets of the vertex set of the given simple hypergraph.  This gives scope for a generalized notion of restricted hypergraphs, so that partial hypergraphs really turn out to be special cases of restricted hypergraphs.