Cameron, Peter and Webb, Bridget
Perfect countably infinite Steiner triple systems.
Australasian Journal of Combinatorics, 54 pp. 273–278.
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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.
||2012 Australasian Journal of Combinatorics
||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.
||Mathematics, Computing and Technology > Mathematics and Statistics
||04 Oct 2012 09:56
||13 May 2015 16:43
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