Embeddings of partial Steiner triple systems

  • Authors:
  • Darryn Bryant

  • Affiliations:
  • Department of Mathematics, University of Queensland, QLD 4072, Australia

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2004

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Abstract

Any partial Steiner triple system of order u can be embedded in a Steiner triple system of order v if v ≡ 1, 3 (mod 6) and v ≥ 3u - 2.