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Compatible Factorizations and Three-fold Triple Systems

Haslinda Ibrahim, (2006) Compatible Factorizations and Three-fold Triple Systems. Bulletin of the Malaysian Mathematical Sciences Society, 29 (2). pp. 125-130. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v29n2/v29n2p4.pdf

Affiliations

Universiti Utara Malaysia, Faculty of Quantitative Sciences

Abstract

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 $v>3$.


2000 Mathematics Subject Classification: 05B05, 68R05, 68R10

Item Type:Journal
Keywords:One-factorization, compatible factorizations, idempotent commutative quasigroup, three-fold triple system.
Subjects:Q Science, Computer Science
ID Code:1441

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