Skip Navigation

Journal of the London Mathematical Society 2000 61(3):641-657; doi:10.1112/S0024610700008838
© 2000 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Ling, A. C. H.
Right arrow Articles by Griggs, T. S.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The London Mathematical Society

Construction Techniques for Anti-Pasch Steiner Triple Systems

A. C. H. Ling, C. J. Colbourn, M. J. Grannell and T. S. Griggs

Department of Combinatorics and Optimization, University of Waterloo Waterloo, Ontario N2L 3G1, Canada
Department of Computer Science, Votey Building, University of Vermont Burlington, VT 05405, USA
Department of Pure Mathematics, Open University Walton Hall, Milton Keynes MK7 6AA

Received 25 June 1997. Revision received 17 March 1999.

Four methods for constructing anti-Pasch Steiner triple systems are developed. The first generalises a construction of Stinson and Wei to obtain a general singular direct product construction. The second generalises the Bose construction. The third employs a construction due to Lu. The fourth employs Wilson-type inflation techniques using Latin squares having no subsquares of order 2. As a consequence of these constructions we are able to produce anti-Pasch systems of order v for v 31 or 7 (mod 18), for v {equiv} 49 (mod 72), and for many other values of v.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.