Hostname: page-component-745bb68f8f-f46jp Total loading time: 0 Render date: 2025-01-27T17:41:00.945Z Has data issue: false hasContentIssue false
  • English
  • Français

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
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.'
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