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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Bibliographic Details
Main Authors: Mohommed, Eman F., Ahmad, Nazihah, Ibrahim, Haslinda
Format: Article
Language:English
Published: Universiti Teknikal Malaysia Melaka 2016
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