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Critical sets in latin squares and associated structures

Published online by Cambridge University Press:  17 April 2009

Richard Winston Bean
Richard Winston Bean
Affiliation:
Department of Mathematics, The University of Queensland, Queensland 4072, Australia
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Abstract

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Type
Abstracts of Australasian Ph.D. Theses
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 1 , August 2002 , pp. 175 - 176
Copyright
Copyright © Australian Mathematical Society 2002

References

[1]Adams, P., Bean, R. and Khodkar, A., ‘A census of critical sets in the latin squares of order at most six’, (submitted).Google Scholar
[2]Adams, P., Bean, R. and Khodkar, A., ‘Disjoint critical sets in latin squares.’, Congr. Numer. (to appear).Google Scholar
[3]Bean, R. W. and Mahmoodian, E. S., ‘On the size of the largest critical set in a latin square’, Discrete Math. (to appear).Google Scholar
[4]Bean, R. and Donovan, D., ‘Closing a gap in the spectrum of critical sets’, Australas. J. Combin. 22 (2000), 199–210.Google Scholar
[5]Bean, R., Donovan, D., Khodkar, A. and Pendfold-Street, A.., ‘Steiner trades that give rise to completely decomposable latin interchanges’, Int. J. Comput. Math. (to appear).Google Scholar