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Partitioning twofold triple systems into complete arcs

โœ 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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โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


Partitioning Steiner triple systems into
โœ C.J. Colbourn; K.T. Phelps; M.J. de Resmini; A. Rosa ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 713 KB

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

Complete Arcs in Steiner Triple Systems
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