Minimal Enclosing of an MPT (v,λ) in a TS (v+1,μ)

摘要

Let MPT ( v,λ ) denote a maximum packing of triples of order v with index λ and TS ( u,λ ) denote a triple system of order u with index λ . In this paper, for v ≥6, we determine necessary and sufficient conditions for enclosing an MPT ( v,λ ) in a TS ( v+1,λ+m ) with one extra point and minimal increase in λ .