Intersection of Main James Abacus Diagram for the Outer Chain Movement with Length [1,0,0...]

Eman F. Mohommed; Nazihah Ahmad; Haslinda Ibrahim

Intersection of Main James Abacus Diagram for the Outer Chain Movement with Length [1,0,0...]

Authors

Eman F. Mohommed School of Quantitative Sciences, College of Arts & Sciences, Universiti Utara Malaysia, 06010 Sintok, Kedah, Malaysia
Nazihah Ahmad School of Quantitative Sciences, College of Arts & Sciences, Universiti Utara Malaysia, 06010 Sintok, Kedah, Malaysia
Haslinda Ibrahim Department of Mathematics College of Science University of Bahrain P.O. Box 32038 Kingdom of Bahrain

Keywords:

James Abacus, Partition, Beta Number

Abstract

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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Published

2016-11-01

How to Cite

Mohommed, E. F., Ahmad, N., & Ibrahim, H. (2016). Intersection of Main James Abacus Diagram for the Outer Chain Movement with Length [1,0,0.]. Journal of Telecommunication, Electronic and Computer Engineering (JTEC), 8(8), 51–56. Retrieved from https://jtec.utem.edu.my/jtec/article/view/1318