PELABELAN L(2, 1) PADA GRAF C_m ⊵_e C_n DAN S_m ⊵_o C_n

Authors

DOI:

https://doi.org/10.25077/jmua.13.2.75-90.2024

Keywords:

Graf Bintang, Graf Siklus, Pelabelan L(2, 1)

Abstract

Diberikan $G$ suatu graf. Pelabelan $L(2,1)$ pada suatu graf $G$ merupakan suatu pemetaan $f: V(G)\rightarrow \mathbb{Z}^+\cup\{0\}$ sehingga untuk setiap $u,v\in V(G)$ dengan $d(u,v)=1$ atau $d(u,v)=2$  memenuhi syarat selisih label kedua titik setidaknya $3-d(u,v)$. Jika $k$ merupakan bilangan bulat terbesar yang digunakan, maka pelabelan $L(2,1)$ biasa ditulis dengan pelabelan $k$-$L(2,1)$. Selanjutnya, $\lambda_{2,1}(G)$ merupakan minimum nilai $k$ sehingga terdapat pelabelan $k$-$L(2,1)$ pada $G$. Pada penelitian ini, diberikan nilai $\lambda_{2,1}$ pada graf $C_m\unrhd_e C_n$ dan graf $S_m\unrhd_o C_n$.

Author Biography

Ganesha Lapenangga Putra, Universitas Nusa Cendana

Hello, i am Ganesha, a lecturer at the department of mathematics University of Nusa Cendana

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Published

30-04-2024

Issue

Vol. 13 No. 2 (2024)

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