Aldiabat, Raja’i and Ibrahim, Haslinda (2018) Near-Compatible Factorization. International Journal of Pure and Applied Mathematics, 120 (2). pp. 259-273. ISSN 1311-8080 (printed version); 1314-3395 (on-line version)

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Abstract

A compatible factorization of order v, is a v × (v−1)2 array of distinct triples in which row i form a near-one-factor with focus i. This article aims to develop compatible factorization to display v×( v−1 2 −2 3 ) triples with minimum repetition. Through this article, we propose and define a new type of factorization called near-compatible factorization. First, we prove the existence of near-compatible factorization. Then, the construction will be presented based on difference triple method. Finally, we employ this near-compatible factorization to illustrate the development of triple design, that is called near-triad design

Item Type:	Article
Uncontrolled Keywords:	Near-one-factorization, λ-fold triple system, difference triple, compatible factorization, near-compatible factorization
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Mdm. Sarkina Mat Saad @ Shaari
Date Deposited:	19 May 2024 08:33
Last Modified:	19 May 2024 08:33
URI:	https://repo.uum.edu.my/id/eprint/30782

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