Small embeddings for partial triple systems of odd index

نویسندگان

  • Darryn E. Bryant
  • Geoffrey Martin
چکیده

It has been conjectured that any partial triple system of order u and index λ can be embedded in a triple system of order v and index λ whenever v ≥ 2u + 1, λ(v − 1) is even and λ ( v 2 ) ≡ 0 (mod 3). This conjecture is known to hold for λ = 1 and for all even λ ≥ 2. Here the conjecture is proven for all remaining values of λ when u ≥ 28.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 119  شماره 

صفحات  -

تاریخ انتشار 2012