Further Results on Ph-supermagic Trees

Tita Khalis Maryati (UIN Syarif Hidayatullah Jakarta)
Otong Suhyanto (UIN Syarif Hidayatullah Jakarta)
Fawwaz Fakhrurrozi Hadiputra (Institut Teknologi Bandung)

International Journal of Computing Science and Applied Mathematics
Vol 9, No 2 (2023)

Let $G$ be a simple, finite, and undirected graph. An $H$-supermagic labeling is a bijective map $f : V(G) \cup E(G) \to \{1,2,\cdots,|V(G)|+|E(G)|\}$ in which $f(V) = \{1,2,\cdots,|V(G)|\}$ and there exists an integer $m$ such that $w(H') = \sum_{v  \in V(H')} f(v) + \sum_{e \in E(H')} f(e) = m$, for every subgraph $H' \cong H$ in $G$. In this paper, we determine some classes of trees which have $P_h$-supermagic labeling.