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 |
| _version_ | 1825806245376819200 |
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| author | Mohommed, Eman F. Ibrahim, Haslinda Ahmad, Nazihah |
| author_facet | Mohommed, Eman F. Ibrahim, Haslinda Ahmad, Nazihah |
| author_sort | Mohommed, Eman F. |
| collection | UUM |
| description | 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 |
| first_indexed | 2024-07-04T06:46:27Z |
| format | Article |
| id | uum-30783 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T06:46:27Z |
| publishDate | 2017 |
| publisher | Pushpa Publishing House |
| record_format | eprints |
| spelling | uum-307832024-05-19T08:35:36Z https://repo.uum.edu.my/id/eprint/30783/ Enumeration Of N-Connected Ominoes Inscribed In An Abacus Mohommed, Eman F. Ibrahim, Haslinda Ahmad, Nazihah QA Mathematics 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 Pushpa Publishing House 2017 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/30783/1/JANTA%2039%2006%202017%20843-874.pdf 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 http://www.pphmj.com |
| spellingShingle | QA Mathematics Mohommed, Eman F. Ibrahim, Haslinda Ahmad, Nazihah Enumeration Of N-Connected Ominoes Inscribed In An Abacus |
| title | Enumeration Of N-Connected Ominoes Inscribed In An Abacus |
| title_full | Enumeration Of N-Connected Ominoes Inscribed In An Abacus |
| title_fullStr | Enumeration Of N-Connected Ominoes Inscribed In An Abacus |
| title_full_unstemmed | Enumeration Of N-Connected Ominoes Inscribed In An Abacus |
| title_short | Enumeration Of N-Connected Ominoes Inscribed In An Abacus |
| title_sort | enumeration of n connected ominoes inscribed in an abacus |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/30783/1/JANTA%2039%2006%202017%20843-874.pdf |
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