Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-25T07:16:53.394Z Has data issue: false hasContentIssue false
  • English
  • Français

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])
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

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