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Balanced block designs and various properties

Published online by Cambridge University Press:  17 April 2009

Abdollah Khodkar
Affiliation:
Department of MathematicsThe University of QueenslandQueensland 4072, Australia
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Abstract

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Type
Abstracts of Australasian Ph.D. Theses
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Billington, E.J. and Hoffman, D.G., ‘Pairs of simple balanced ternary designs with prescribed numbers of triples in common’, Austral. J. Combin. 5 (1992), 5971.Google Scholar
[2]Billington, E.J. and Mahmoodian, E.S., ‘Multi-set designs and numbers of common triples’, Graphs Combin. 9 (1993), 105115.CrossRefGoogle Scholar
[3]Colbourn, C.H., Mathon, R.A., Rosa, A. and Shalaby, N., ‘The fine structure of threefold triple systems: v ≡ 1 or 3 (mod 6)’, Discrete Math. 92 (1991), 4964.CrossRefGoogle Scholar
[4]Colbourn, C.H., Mathon, R.A. and Shalaby, N., ‘The fine structure of threefold triple systems: v ≡ 5 (mod 6)’, Austral. J. Combin. 3 (1991), 7592.Google Scholar
[5]Donovan, D., ‘Balanced ternary designs with block size four’, Ars Combin. 21 (1986), 7188.Google Scholar
[6]Donovan, D., ‘More balanced ternary designs with block size four’, J. Statist. Plann. Inference 17 (1987), 109133.CrossRefGoogle Scholar
[7]Fu, H.L., ‘Directed triple systems having a prescribed number of triples in common’, Tamkang J. Math. 14 (1983), 8590.Google Scholar
[8]Gionfriddo, M. and Lo Faro, G., ‘On blocking sets in Sd(t, t + 1, v)’, Mitt. Math. Sem. Giessen (1991), 5558.Google Scholar
[9]Gronau, H.-D.O.F. and Mullin, R.C., ‘On super-simple 2 − (v, 4, λ) designs’, J. Combin. Math. Combin. Comput. 11 (1992), 113121.Google Scholar
[10]Lindner, C.C. and Wallis, W.D., ‘Embeddings and prescribed intersections of transitive triple systems’, Ann. Discrete Math. 15 (1982), 265272.Google Scholar