1. Special overlarge sets of Kirkman triple systems.
- Author
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Xu, Juanjuan and Ji, Lijun
- Subjects
STEINER systems ,DESIGN - Abstract
A Steiner quadruple system of order v + 1 with resolvable derived designs (every derived Steiner triple system of order v at a point is resolvable), abbreviated as RDSQS (v + 1) , has been used to construct a large set of Kirkman triple systems of order 3v. In this paper, an RDSQS (v + 1) is reduced to an overlarge set of Kirkman triple systems of order v with an additional property (OLKTS + (v) ), which plays the same role in constructing an LKTS(3v) as an RDSQS (v + 1) . Some recursive constructions of OLKTS + s are also established. As a result, some infinite classes of OLKTS + s and LKTSs are obtained. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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