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On making two Steiner triple systems disjoint
Authors:Luc Teirlinck
Institution:Departement Wiskunde, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel, Belgium
Abstract:We prove that if (S1, β1) and (S2, β2) are two Steiner triple systems of order v and if S is a set of v points, then there exist two disjoint Steiner triple systems (S, β1′) and (S, β2′) with (S1, β1) ? (S, β1′) and (S2, β2) ? (S, β2′).
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