Pelabelan Total Sisi Trimagic Super Pada Graf Calendula

Abstract View: 114, PDF Download: 88

Authors

  • Wulandari Wulandari Universitas Mulawarman
  • Hardina Sandariria Universitas Mulawarman
  • Wasono Wasono Universitas Mulawarman

DOI:

https://doi.org/10.32665/james.v7i1.1934

Keywords:

Pelabelan sisi trimagic, Pelabelan total sisi trimagic, Pelabelan total sisi trimagic super, Graf calendula, edge trimagic labeling, edge trimagic total labeling, super edge trimagic total labling, calendula graph

Abstract

Graf G(V(G),E(G)) dikatakan mempunyai pelabelan total sisi trimagic bila terdapat pemetaan bijektif f:V(G) ∪ E(G) → {1,2,⋯,|V(G)|+|E(G)|}, sehingga untuk setiap sisi uv ∈ E(G), ketika f(u)+f(uv)+f(v) merupakan tiga nilai konstanta berbeda yaitu k_1,k_2, dan k_3. Pelabelan total sisi trimagic disebut sebagai pelabelan total sisi trimagic super pada suatu graf G jika titik diberi label himpunan bilangan {1,2,⋯,|V(G)|}. Dalam penelitian ini, ditentukan pelabelan total sisi trimagic super pada graf Calendula Cl_(p,q), dengan p≥3 dan q=4,5. Berdasarkan hasil penelitian, diperoleh graf Calendula Cl_(p,q) memuat pelabelan total sisi trimagic super.

References

Buhaerah, Z. Busrah, and H. Sanjaya, Teori Graf dan Aplikasinya. 2019.

J. A. Gallian, “A dynamic survey of graph labeling,” Electron. J. Comb., vol. 1, no. DynamicSurveys, 2018.

G. M. Imelda and T. S. Martini, “Pelabelan Total Sisi Trimagic Super pada Graf Bunga CmSn,” Prism. Pros. Semin. Nas. Mat., vol. 5, no. Pelabelan Total, pp. 834–841, 2022, [Online]. Available: https://journal.unnes.ac.id/sju/index.php/prisma/

K. Rosen, K., and Krithivasan, “Discrete mathematics and its applications: with combinatorics and graph theory.,” Tata McGraw-Hill Educ., 2012.

J. Sadlack, “Theory of Graphs and Its Applications,” House Czechoslov. Acad. Sci. Prague, pp. 163–164, 1964.

A. Kotzig and A. Rosa, “Magic Valuations of Finite Graphs,” Can. Math. Bull., vol. 13, no. 4, pp. 451–461, 1970, doi: 10.4153/cmb-1970-084-1.

H. Sandariria and Y. Susanti, “H-Supermagic Labeling on Coronation of Some Classes of Graphs with a Path,” Phys.: Conf. Ser. 855 012042. 2017, doi: 10.1088/1742-6596/855/1/012042.

H. Sandariria and Y. Susanti, “H -supermagic labeling on edge coronation of some graphs with a cycle,” AIP Conf. Proc., vol. 2192, no. December, 2019, doi: 10.1063/1.5139140.

J. B. Babujee, “Bimagic labeling in path graphs,” Math. Educ., vol. 38, p. 5, 2004.

J. B. B. Mohammed Ali Ahmed, “On Face Bimagic Labeling of Graphs,” Indian J. Sci. Technol., vol. 4, no. 4, pp. 414–416, 2016, doi: 10.17485/ijst/2011/v4i4/30012.

C. Jayasekaran and M. Regees, “Edge trimagic total labeling of graphs,” vol. 3, no. 1, pp. 295–320, 2013.

C. Jayasekaran and J. Little Flower, “On Edge Trimagic Labeling of Umbrella, Dumb Bell and Circular Ladder Graphs,” Ann. Pure Appl. Math., vol. 13, no. 1, pp. 73–87, 2017, doi: 10.22457/apam.v13n1a8.

T. Nawawi, A., and Martini, “Pelabelan Total Sisi Trimagic pada Graf Dragon Pendant DPn(m),” Pros. Semin. Nas. Mat., vol. 4, p. 46, 2022.

M. Leto, “Pelabelan H-Ajaib Super Pada Graf Generalized Calendula,” Kupang Fak. Sains dan Tek. Univ. Cendan, vol. 33, no. 1, pp. 1–12, 2022.

N. Pradipta, T., dan Ishaq, “nalisis Pelabelan Lingkaran-Ajaib Super Pada Graf Hasil Kali Sisir Dari Dua Lingkaran,” Univ. Muhammadiyah Prof. Dr. Hamka, vol. 6, no. 1, pp. 1–8, 2018.

Downloads

Published

2024-04-29

How to Cite

[1]
W. Wulandari, H. Sandariria, and W. Wasono, “Pelabelan Total Sisi Trimagic Super Pada Graf Calendula”, JaMES, vol. 7, no. 1, pp. 59–63, Apr. 2024.

Issue

Vol. 7 No. 1 (2024): Journal of Mathematics Education and Science

Section

Articles

Categories

License

Copyright (c) 2024 Journal of Mathematics Education and Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Authors who publish with this journal agree to the following terms:

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) before and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work
Abstract View: 114, PDF Download: 88