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
PDF
Restricted to Repository staff only Download (169kB) |
Official URL: http://math.usm.my/bulletin/pdf/v29n2/v29n2p4.pdf
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.
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. Dr. Haslinda Ibrahim |
Date Deposited: | 14 Aug 2011 04:24 |
Last Modified: | 14 Aug 2011 04:24 |
URI: | https://repo.uum.edu.my/id/eprint/3494 |
Actions (login required)
View Item |