The Open UniversitySkip to content

Perfect countably infinite Steiner triple systems

Cameron, Peter and Webb, Bridget (2012). Perfect countably infinite Steiner triple systems. Australasian Journal of Combinatorics, 54 pp. 273–278.

Full text available as:
PDF (Version of Record) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (87kB) | Preview
Google Scholar: Look up in Google Scholar


We use a free construction to prove the existence of perfect Steiner triple systems on a countably infinite point set. We use a specific countably infinite family of partial Steiner triple systems to start the construction, thus yielding 2ℵ0 non-isomorphic perfect systems.

Item Type: Journal Item
Copyright Holders: 2012 Australasian Journal of Combinatorics
ISSN: 1034-4942
Extra Information: Acknowledgement is made to the Australasian Journal of Combinatorics ( for permission to archive this file in Open Research Online.
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 34503
Depositing User: Bridget Webb
Date Deposited: 04 Oct 2012 09:56
Last Modified: 12 Jun 2020 23:06
Share this page:

Download history for this item

These details should be considered as only a guide to the number of downloads performed manually. Algorithmic methods have been applied in an attempt to remove automated downloads from the displayed statistics but no guarantee can be made as to the accuracy of the figures.

Actions (login may be required)

Policies | Disclaimer

© The Open University   contact the OU