Pelabelan Total Sisi Trimagic Super Pada Graf Calendula

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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.

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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

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Abstract View: 9, PDF Download: 5