Pelabelan Total Sisi Trimagic Super pada Graf Dragon Pendant {DP}_n(m)
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Published
Feb 12, 2022
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Abstract
Misal graf terhubung dan sederhana dengan himpunan titik dan himpunan sisi . Graf dengan dan disebut memiliki pelabelan total sisi trimagic jika terdapat pemetaan bijektif sehingga untuk setiap sisi , nilai adalah konstanta , , dan . Pelabelan total sisi trimagic disebut sebuah pelabelan total sisi trimagic super dari sebuah graf jika titik diberi label himpunan bilangan . Pada penelitian ini, ditentukan pelabelan total sisi trimagic super dari graf Dragon Pendant , dengan dan . Hasil penelitian menunjukkan graf Dragon Pendant memuat pelabelan total sisi trimagic dengan nilai , , untuk genap dan nilai , , untuk ganjil.
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Nawawi, A., & Martini, T. (2022). Pelabelan Total Sisi Trimagic Super pada Graf Dragon Pendant {DP}_n(m). PRISMA, Prosiding Seminar Nasional Matematika, 5, 828-833. Retrieved from https://journal.unnes.ac.id/sju/prisma/article/view/54313
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References
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C. Jayasekaran, J. F. (2017). Edge Trimagic Total Labeling of Mobius Ladder, Book and Dragon Graphs. Annals of Pure and Applied Mathematics , 157-161.
C.Jayasekaran, M. C. (2013). Edge Trimagic Labeling for some Graphs. International Journal of Combinatorial Graph Theory and Applications, 6(2) , 175-186.
J. Flower, C. J. (2017). On Edge Trimagic Labeling of Umbrella, Dumb Bell and Circular Ladder Graphs. Annals of Pure and Applied Mathematics , 73-86.
L. Girija, A. E. (2014). Edge Magic Total Labeling of the Cycle Cn with P3 Chords. Annals of Pure and Applied Mathematics , 175-180.
Rosa, A. K. (1970). Magic Valuation of Finite Graphs. Canad. Math. Bull. , 415-416.
Sedlack, J. (1964). Theory of Graphs and Its Applications. House Czechoslovak Acad. Sci. Prague , 163-164.
Wallis, W. (2001). Magic Graphs. New York: Birkhauser Boston.
Wantika, R. R. (2015). Graceful Labeling In Double Dragon Graph and Pendant Dragon Graph. (Master's Thesis). Sepuluh Nopember Institute of Technology.