Intersection of main James abacus diagram for the outer chain movement with length [1, 0, 0…]
James abacus with β- number is one of the graphical representations for any partition of a non-negative integer.James abacus can be divided into several chains which consist of outer and inner chains. In this paper, a new diagram A tco is developed by employing movement to the outer chain with lengt...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Universiti Teknikal Malaysia Melaka
2016
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| Subjects: | |
| Online Access: | http://repo.uum.edu.my/20497/1/JTEC%208%208%202016%2051%2056.pdf http://repo.uum.edu.my/20497/ http://journal.utem.edu.my/index.php/jtec/article/view/1318 |
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| Summary: | James abacus with β- number is one of the graphical representations for any partition of a non-negative integer.James abacus can be divided into several chains which consist of outer and inner chains. In this paper, a new diagram A tco is developed by employing movement to the outer chain with length [1, 0, 0,…] on the active James abacus.Then, a consecutive new diagram of b1, b2…, be-1 can be found from active diagram A tco .Finally intersection of the main new diagrams A tco is obtained. Some theoretical results for intersection of main James diagram are established.In addition, several examples are given to illustrate the results |
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