Enumeration Of N-Connected Ominoes Inscribed In An Abacus
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Pushpa Publishing House
2017
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| Subjects: | |
| Online Access: | https://repo.uum.edu.my/id/eprint/30783/1/JANTA%2039%2006%202017%20843-874.pdf |
| Summary: | 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 |
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