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Further 6-sparse Steiner Triple Systems

Forbes, A. D.; Grannell, M. J. and Griggs, T. S. (2009). Further 6-sparse Steiner Triple Systems. Graphs and Combinatorics, 25(1) pp. 49–64.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1007/s00373-008-0819-3
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Abstract

We give a construction that produces 6-sparse Steiner triple systems of order v for all sufficiently large v of the form 3p, p prime and p ≡ 3 (mod 4). We also give a complete list of all 429 6-sparse systems with v < 10000 produced by this construction.

Item Type: Journal Article
Copyright Holders: 2009 Springer-Verlag
ISSN: 1435-5914
Keywords: Steiner triple system; 6-sparse; Pasch configuration; Mitre configuration; Crown configuration
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 19631
Depositing User: Colin Smith
Date Deposited: 22 Jan 2010 10:48
Last Modified: 30 Nov 2012 10:37
URI: http://oro.open.ac.uk/id/eprint/19631
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