Embeddings of Simple Maximum Packings of triples with 2 Even

نویسندگان

  • Salvatore Milici
  • Gaetano Quattrocchi
  • Hao Shen
چکیده

Let MPT (v, 2) denote a maximum packing of triples of order v and index 2. An MPT (v, 2) is called simple if it contains no repeated triples. It is proved in this paper that for v > 2 and any even 2, the necessary and sufficient condition for the embedding of a simple MPT(v,2) in a simple MPT(u,).) is u >/2v + 1.

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تاریخ انتشار 2003