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.
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.
基金
National Natural Science Foundation ofChina ( No. 60 0 72 0 18),National Outstanding Youth ScienceFoundation( No.60 2 2 5 0 0 7) and Postdoctoral Science Foundationof China( No.2 0 0 2 0 2 480 2 4)
