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Construction of Large Sets of Almost Disjoint Steiner Triple Systems

Published online by Cambridge University Press:  20 November 2018

C. C. Lindner  and
A. Rosa
C. C. Lindner
Affiliation:
Auburn University, Auburn, Alabama
A. Rosa
Affiliation:
Auburn University, Auburn, Alabama
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A Steiner triple system (briefly STS) is a pair (S, t) where S is a set and t is a collection of 3-subsets of S (called triples) such that every 2-subset of S is contained in exactly one triple of t. The number |S| is called the order of the STS (S, t). It is well-known that there is an STS of order v if and only if v = 1 or 3 (mod 6). Therefore in saying that a certain property concerning STS is true for all v it is understood that v = 1 or 3 (mod 6).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 2 , 01 April 1975 , pp. 256 - 260
Copyright
Copyright © Canadian Mathematical Society

References

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