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On sparse countably infinite Steiner triple systems

Chicot, K. M.; Grannell, M. J.; Griggs, T. S. and Webb, B. S. (2010). On sparse countably infinite Steiner triple systems. Journal of Combinatorial Designs, 18(2) pp. 115–122.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1002/jcd.20227
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Abstract

We give a general construction for Steiner triple systems on a countably infinite point set and show that it yields 2N0 nonisomorphic systems all of which are uniform and r-sparse for all finite r≥4.

Item Type: Journal Article
ISSN: 1063-8539
Keywords: infinite Steiner triple system; sparse; uniform
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 21313
Depositing User: Colin Smith
Date Deposited: 13 May 2010 09:40
Last Modified: 23 Oct 2012 14:30
URI: http://oro.open.ac.uk/id/eprint/21313
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