Embeddings of maximum packings in triple systems

作者：Su, RW; Fu, HL; Shen, H^*

来源：Discrete Mathematics, 2004, 284(1-3): 235-245.

DOI：10.1016/j.disc.2003.11.038

• maximum packing
• difference triple
• embedding

Let MPT(v,lambda) denote a maximum packing of triples of order v with index lambda and TS(u, lambda) denote a triple system of order u with index lambda. For lambda > 1 and v greater than or equal to 6, it is proved in this paper that the necessary and sufficient conditions for the embedding of an MPT(v, lambda) in a TS(u, lambda) are lambda(u - 1) equivalent to 0 (mod 2), lambdau(u - 1) equivalent to 0 (mod 6) and u greater than or equal to 2v 1.

• 出版日期2004-7-6
• 单位上海交通大学