Colbourn, C.J., K.T. Phelps, M.J. de Resmini and A. Rosa, Partitioning Steiner triple systems into complete arcs, Discrete Mathematics 89 (1991) 149-160. For a Steiner triple system of order v to have a complete s-arc one must have s(s + 1)/2 3 v with equality only if s = 1 or 2 mod 4. To partition
โฆ LIBER โฆ
Partitioning twofold triple systems into complete arcs
โ Scribed by K.T. Phelps; M.J. de Resmini
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 512 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
We establish that for all s, there exists a design with parameters (s', 3, 2) such that the points can be partitioned into s complete s-arcs. Furthermore we present a general technique which applies to the construction of designs (s', 4, 1) possessing a partition into s complete s-arcs. This gives a partial solution to this question as well.
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Partitioning Steiner triple systems into
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