Geodesic
Compatible Factorizations and Three-fold Triple Systems
Bulletin of the Malaysian Mathematical Society, Tome 29 (2006) no. 2 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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A three-fold triple system is a design wherein each pair of treatments occurs exactly once. One way to construct this design is by using an idempotent commutative quasigroup. This paper attempts to provide another method of constructing a 3-fold triple system. Firstly, we would like to discuss compatible factorization without multiple edges using a patterned starter construction. Then, we will use this construction to enumerate a distinct 3-fold triple system for every odd order v >3.
Classification : 05B05, 68R05, 68R10. 
@article{BMMS_2006_29_2_a3,
     author = {Haslinda Ibrahim},
     title = {Compatible {Factorizations} and {Three-fold} {Triple} {Systems}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2006},
     volume = {29},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2006_29_2_a3/}
}
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Haslinda Ibrahim. Compatible Factorizations and Three-fold Triple Systems. Bulletin of the Malaysian Mathematical Society, Tome 29 (2006) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2006_29_2_a3/