SOME PROPERTIES OF THE s-ARC TRANSITIVE HYPERGAPHS

The hypergraph H is s-are transitive if Aut (H) acts trancitively on the set of its s-arcs.In this paper, we show that, if s-are transitive hypergraph H containing at least ane s-arc, then either H is vertex-transitive and i-arc transitive for each I satisfying 1≤ i ≤s. or H is a hypertree of diameters s.

Keywords:

hypergraph , s-are transitive