Enumeration Of N-Connected Ominoes Inscribed In An Abacus

Mohommed, Eman F. and Ibrahim, Haslinda and Ahmad, Nazihah (2017) Enumeration Of N-Connected Ominoes Inscribed In An Abacus. JP Journal of Algebra, Number Theory and Applications, 39 (6). pp. 843-874. ISSN 0972-5555

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Abstract

In this paper, we employ the theory of abaci to introduce a model to provide a new combinatorial interpretation for n-connected objects such as polyominoes, polyiamonds, polyhexes, polykites and site animals. The proposed model is called the nested chain abacus model, which involves the construction of an abacus with n beads to represent the n connected objects and the formulation of the corresponding partition of the abacus. We used the notation of abacus in order to give recognize or describe families of n-connected objects defined by inscribing the n-connected objects in abacus

Item Type:	Article
Uncontrolled Keywords:	n-connected objects, abacus, nested chain abacus, connected partition
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Mdm. Sarkina Mat Saad @ Shaari
Date Deposited:	19 May 2024 08:35
Last Modified:	19 May 2024 08:35
URI:	https://repo.uum.edu.my/id/eprint/30783

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