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On large sets of disjoint Steiner triple systems. I. (English) Zbl 0514.05018


MSC:

05B07 Triple systems
05B15 Orthogonal arrays, Latin squares, Room squares

References:

[1] Cayley, A.: On the triadic arrangements of seven and fifteen things. London, Edinburgh, Dublin philos. Mag. J. Sci 37, No. 3, 50-53 (1850)
[2] Denniston, R. H. F: Some packings with Steiner triple systems. Discrete math. 9, 213-227 (1974) · Zbl 0306.05007
[3] Doyen, J.: Constructions of disjoint Steiner triple systems. Proc. amer. Math. soc. 32, 409-416 (1972) · Zbl 0215.33502
[4] Quiring, D.: A construction of disjoint Steiner triple systems. J. combin. Theory ser. A 27, 407-408 (1979) · Zbl 0419.05005
[5] Rosa, A.: A theorem on the maximum number of disjoint Steiner triple systems. J. combin. Theory ser. A 18, 305-312 (1975) · Zbl 0306.05008
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