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Compatible factorizations and three-fold triple systems

Ibrahim, Haslinda (2006) Compatible factorizations and three-fold triple systems. Bulletin of the Malaysian Mathematical Sciences Society, 2 (29). pp. 125-130. ISSN ISSN 0126-6705

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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.

Item Type: Article
Uncontrolled Keywords: One-factorization, compatible factorizations, idempotent commutative quasigroup, three-fold triple system
Subjects: Q Science > QA Mathematics
Divisions: College of Arts and Sciences
Depositing User: Prof. Madya Dr. Haslinda Ibrahim
Date Deposited: 14 Aug 2011 04:24
Last Modified: 14 Aug 2011 04:24
URI: http://repo.uum.edu.my/id/eprint/3494

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