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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.

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Abstract

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 Article
Copyright Holders: 2012 Australasian Journal of Combinatorics
ISSN: 1034-4942
Extra Information: Acknowledgement is made to the Australasian Journal of Combinatorics (http://ajc.maths.uq.edu.au) for permission to archive this file in Open Research Online.
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
Item ID: 34503
Depositing User: Bridget Webb
Date Deposited: 04 Oct 2012 09:56
Last Modified: 24 Apr 2016 09:46
URI: http://oro.open.ac.uk/id/eprint/34503
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