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ON DEFINING SETS IN LATIN SQUARES AND TWO INTERSECTION PROBLEMS, ONE FOR LATIN SQUARES AND ONE FOR STEINER TRIPLE SYSTEMS

Part of: Designs and configurations

Published online by Cambridge University Press:  16 August 2010

THOMAS A. MCCOURT
THOMAS A. MCCOURT*
Affiliation:
School of Mathematics and Physics, University of Queensland, Brisbane, QLD, 4072, Australia (email: [email protected])
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Abstract

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Keywords

latin squarelatin tradelatin bitradetriangulationdefining setcritical setpartial triple systemSteiner triple systemintersection problem

MSC classification

Secondary: 05B15: Orthogonal arrays, Latin squares, Room squares 05B07: Triple systems
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 2 , October 2010 , pp. 351 - 352
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

[1]Drápal, A., ‘On a planar construction of quasigroups’, Czechoslovak Math. J. 41(116)(3) (1991), 538–548.CrossRefGoogle Scholar
[2]Fu, H.-L., ‘On the construction of certain types of latin squares having prescribed intersections’, PhD Thesis, Department of Discrete and Statistical Sciences, Auburn University, 1980.Google Scholar
[3]Lindner, C. C. and Rosa, A., ‘Steiner triple systems having a prescribed number of triples in common’, Canad. J. Math. 27(5) (1975), 1166–1175.Google Scholar