On large sets of Kirkman triple systems and 3-wise balanced design.
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Publication:1428537
DOI10.1016/S0012-365X(03)00279-6zbMath1050.05020MaRDI QIDQ1428537
Publication date: 29 March 2004
Published in: Discrete Mathematics (Search for Journal in Brave)
3-Wise balanced designGeneralized frameLarge set of generalized Kirkman systemsLarge set of Kirkman triple systems
Related Items (11)
New results on LR-designs and OLKTSs ⋮ New results on large sets of Kirkman triple systems ⋮ A construction for large sets of disjoint Kirkman triple systems ⋮ Large sets of Kirkman triple systems of prime power sizes ⋮ Constructions for large sets of \(v-1\{0,{v\over 3}\}\)-intersecting Steiner triple systems of order \(v\) ⋮ Existence of frame-derived H-designs ⋮ More results on large sets of Kirkman triple systems ⋮ Further results on large sets of Kirkman triple systems ⋮ Large sets of Kirkman triple systems of orders \(2^{2 n + 1} + 1\) ⋮ A tripling construction for overlarge sets of KTS ⋮ Further results on overlarge sets of Kirkman triple systems
Cites Work
- On large sets of disjoint Steiner triple systems. IV
- A completion of Lu's determination of the spectrum for large sets of disjoint Steiner triple systems
- A survey of Kirkman triple systems and related designs
- A completion of the spectrum for large sets of disjoint transitive triple systems
- A class of three-designs
- Further cases of double resolvability
- The fundamental construction for 3-designs
- Double resolvability of some complete 3-designs
- Transitive resolvable idempotent symmetric quasigroups and large sets of Kirkman triple systems
- On large sets of Kirkman systems with holes
- Sylvester's problem of the 15 schoolgirls
- On large sets of disjoint Kirkman triple systems
- Further results on transitive Kirkman triple systems
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