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A simplification of Moore's proof of the existence of Steiner triple systems

✍ Scribed by A.J.W Hilton

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
149 KB
Volume
13
Category
Article
ISSN
0097-3165

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## Abstract We consider two well‐known constructions for Steiner triple systems. The first construction is recursive and uses an STS(__v__) to produce a non‐resolvable STS(2__v__ + 1), for __v__ ≑ 1 (mod 6). The other construction is the Wilson construction that we specify to give a non‐resolvable

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## Abstract Lindner's conjecture that any partial Steiner triple system of order __u__ can be embedded in a Steiner triple system of order __v__ if $v\equiv 1,3 \; ({\rm mod}\; 6)$ and $v\geq 2u+1$ is proved. Β© 2008 Wiley Periodicals, Inc. J Combin Designs 17: 63–89, 2009