A Steiner triple system of order u is called reverse if its automorphism group contains an involution fixing only one point. We show mat such a system exists if and only if u = 1,3, 9 or 19 (mod 24).
The existence of 5-sparse Steiner triple systems of order ,
β Scribed by Adam J. Wolfe
- Book ID
- 108167247
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 239 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
## Abstract In this paper, we present three constructions for antiβmitre Steiner triple systems and a construction for 5βsparse ones. The first construction for antiβmitre STSs settles two of the four unsettled admissible residue classes modulo 18 and the second construction covers such a class mod
## Abstract We consider two wellβknown constructions for Steiner triple systems. The first construction is recursive and uses an STS(__v__) to produce a nonβresolvable STS(2__v__β+β1), for __v__ββ‘β1 (mod 6). The other construction is the Wilson construction that we specify to give a nonβresolvable