Edge-Magic Labelings of Wheel Graphs
Yasuhiro Fukuchi · Tokyo Journal of Mathematics · 2001
A graph $G$ is called edge-magic if there exists a bijection $f$ from $V(G)\cup E(G)$ to $\{1,2,\ldots,|V(G)|+|E(G)|\}$ such that $f(x)+f(y)+f(xy)=C$ is a constant for any $xy\in E(G)$. In this paper, we show that a wheel graph $W_n$ is edge-magic if $n ot\equiv 0 \pmod{4}$.