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Further 6-sparse Steiner Triple Systems
Authors:A. D. Forbes  M. J. Grannell  T. S. Griggs
Affiliation:(1) Department of Mathematics, The Open University, Walton Hall, Milton Keynes, MK7 6AA, UK
Abstract:We give a construction that produces 6-sparse Steiner triple systems of order v for all sufficiently large v of the form 3p, p prime and p ≡ 3 (mod 4). We also give a complete list of all 429 6-sparse systems with v < 10000 produced by this construction.
Keywords:Steiner triple system  6-sparse  Pasch configuration  Mitre configuration  Crown configuration
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