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

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 condition for enclosing an MPT (v,λ) in a TS (v+m,λ+1) with index λ increased by 1 and minimal increase in extra points.