Compatible factorizations and three-fold triple systems
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 compa...
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| Format: | Article |
| Language: | English |
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Universiti Sains Malaysia
2006
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| Online Access: | https://repo.uum.edu.my/id/eprint/3494/1/H1.pdf |
| _version_ | 1825740157092888576 |
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| author | Ibrahim, Haslinda |
| author_facet | Ibrahim, Haslinda |
| author_sort | Ibrahim, Haslinda |
| collection | UUM |
| description | 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. |
| first_indexed | 2024-07-04T05:22:06Z |
| format | Article |
| id | uum-3494 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T05:22:06Z |
| publishDate | 2006 |
| publisher | Universiti Sains Malaysia |
| record_format | eprints |
| spelling | uum-34942011-08-14T04:24:03Z https://repo.uum.edu.my/id/eprint/3494/ Compatible factorizations and three-fold triple systems Ibrahim, Haslinda QA Mathematics 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. Universiti Sains Malaysia 2006 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/3494/1/H1.pdf 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 http://math.usm.my/bulletin/pdf/v29n2/v29n2p4.pdf |
| spellingShingle | QA Mathematics Ibrahim, Haslinda Compatible factorizations and three-fold triple systems |
| title | Compatible factorizations and three-fold triple systems |
| title_full | Compatible factorizations and three-fold triple systems |
| title_fullStr | Compatible factorizations and three-fold triple systems |
| title_full_unstemmed | Compatible factorizations and three-fold triple systems |
| title_short | Compatible factorizations and three-fold triple systems |
| title_sort | compatible factorizations and three fold triple systems |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/3494/1/H1.pdf |
| work_keys_str_mv | AT ibrahimhaslinda compatiblefactorizationsandthreefoldtriplesystems |