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Dehon, Michel

On the existence of 2-designs Slambda(2,3,v) without repeated blocks. (English) Zbl 0502.05008

Discrete Math. 43, 155-171 (1983).
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Cited in 24 Documents

MSC:

05B05 Combinatorial aspects of block designs

Keywords:

2-designs with k=3
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Full Text: DOI

References:

[1] Berge, C., Graphes et Hypergraphes (1970), Dunod: Dunod Paris · Zbl 0213.25702
[2] Brouwer, A. E., The \(t\)-designs with \(υ<18\), Mathematisch Centrum (August 1977), Amsterdam, ZN 76/77
[3] Dehon, M., Sur les designs, (Mémoire de licence (1974), Univ. Libre de Bruxelles)
[4] Denniston, R. H.F., Some packings with Steiner triple systems, Discrete Math., 9, 213-227 (1974) · Zbl 0306.05007
[5] Hanani, H., The existence and construction of balanced incomplete block designs, Ann. Math. Statist., 32, 361-386 (1961) · Zbl 0107.36102
[6] H. Hanani, Combinatorial designs, Series of lectures given at the International Conference on Combinatorial Structures and their Applications, Calgary, June 1969.; H. Hanani, Combinatorial designs, Series of lectures given at the International Conference on Combinatorial Structures and their Applications, Calgary, June 1969. · Zbl 0246.05001
[7] Hilton, A. J.W., A simplication of Moore’s proof of the existence of Steiner triple systems, J. Combin. Theory (A), 13, 422-425 (1972) · Zbl 0244.05010
[8] Kirkman, T. P., On a problem in combinations, Cambridge and Dublin Math. J., 2, 191-204 (1847)
[9] Rosa, A., A theorem on the maximum number of disjoint Steiner triple systems, J. Combin. Theory (A), 18, 305-312 (1975) · Zbl 0306.05008
[10] Schreiber, S., Covering all triples on \(n\) marks by Steiner systems, J. Combin. Theory (A), 15, 347-380 (1973) · Zbl 0274.05021
[11] Schreiber, S., Some balanced complete block designs, Israël J. Math., 18, 1 (1974) · Zbl 0292.05004
[12] Teirlinck, L., On the maximum number of disjoint Steiner triple systems, Discrete Math., 6, 299-300 (1973) · Zbl 0266.05006
[13] Teirlinck, L., Combinatorial structures, (Ph.D. Thesis (1977), Vrije Univ. Brussel)
[14] Van Buggenhaut, J., On the existence of 2-designs \(S_2(2, 3, υ)\) without repeated blocks, Discrete Math., 8, 105-109 (1974) · Zbl 0276.05021
[15] Van Buggenhaut, J., Existence and constructions of 2-designs \(S_3(2, 3, υ)\) without repeated blocks, J. Geometry, 4, 1-10 (1974) · Zbl 0271.05006
[16] R.M. Wilson, Some partitions of all triples into Steiner triple systems, to appear.; R.M. Wilson, Some partitions of all triples into Steiner triple systems, to appear. · Zbl 0311.05010
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