University of Rostock, Institute of Mathematics, 2005
https://doi.org/10.18453/rosdok_id00005896
Abstract: In this paper we investigate exhaustively the cyclically indecomposable triple systems TSλ(v) for λ = 2, v ≤ 33 and λ = 3, v ≤ 21 and we identify the decomposable ones. We also construct, by using Skolem-type and Rosa-type sequences, cyclically indecomposable two-fold triple systems TS2(v) for all admissible orders. Further, we investigate exhaustively all cyclic TS2(v) that are constructed by Skolem-type and Rosa-type sequences up to v ≤ 45 for indecomposability.
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