Vol. 4 No. 1 (2022): Edisi Juni
Open Access
Peer Reviewed

Pelabelan Total Sisi Ajaib Super pada Graf T(2,n,n+6)

Authors

Ni Nyoman Ayulita Andayani , I.G.N Pujawan , Made Juniantari

Published:

2022-06-30

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Abstract

Graph labeling is one of the topics in graph theory which helps a lot in solved everyday problems. Study on labeling on graphs, especially the Super Edge-Magic Total Labelling is still ongoing, although for some classes of graph have been known to have Super Edge-Magic Total Labelling, but many problems that have not been resolved, one of them is the conjecture stated in the paper Enomoto et al (1998: 108 ) that all tree graphs have (super) edge-magic total labeling. Motivated by this conjecture, this study examined the total labeling of the super magical side of Graph T (2, n, n + 6) which is one of the tree graphs. The results of this study is show that Graph T (2, n, n + 6) is a graph that can be labelled by the Super Edge-Magic Total Labeling (SEMT), with the magic value of graph T (2, n, n + 6) for n is even number is k = 5n +23, and for n is even number the magic value is k = 5n +24.

Keywords:

Super Magic Graph Super Edge-Magic Total Labelling Magic Value

References

Enomoto, H., Lladó, A. S., Nakamigawa, T., and Ringel, G., 1998, Super Edge-Magic Graphs, SUT J. Math., Vol. 34, No. 2 : 105-109, http://web.thu.edu.tw/wang/www/SEM_98.pdf

Gallian, Joseph A. 1997.A Dynamic Survey of Graph Labeling. Duluth: University of Minnesota Duluth.

Munir, Rinaldi, 2010. Matematika Diskrit. Informatika Bandung. Bandung.

Ngurah, Anak Agung Gede. 2007. Ketotalsisiajaiban Graf dan Defisiensinya. ITB. Bandung. Disertasi-S3. https://digilib.itb.ac.id/index.php/gdl/view/7181

Sudarsana, I W., Noviana, Musdalifah, S., dan Kasim, A. A.. 2013. Pelabelan Total Sisi Ajaib Super (Tsas) pada Gabungan Graf Bintang Ganda dan Lintasan. Online Jurnal of Natural Science. Vol. 2 (1) : 1-10. http://jurnal.untad.ac.id/jurnal/index.php/ejurnalfmipa/article/view/1574

Author Biographies

Ni Nyoman Ayulita Andayani, Universitas Pendidikan Ganesha

Author Origin : Indonesia

I.G.N Pujawan, Universitas Pendidikan Ganesha

Author Origin : Indonesia

Pendidikan Matematika

Made Juniantari, Universitas Pendidikan Ganesha

Author Origin : Indonesia

Pendidikan Matematika

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How to Cite

Andayani, N. N. A., Pujawan, I. ., & Juniantari, M. . (2022). Pelabelan Total Sisi Ajaib Super pada Graf T(2,n,n+6). Mandalika Mathematics and Educations Journal, 4(1), 46–54. Retrieved from https://jurnalfkip.unram.ac.id/index.php/MANDALIKA/article/view/1763

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