ON SUPER EDGE-MAGIC LABELING OF SOME GRAPHS
Ji-Yeon Park, Jin-Hyuk Choi, Jae-Hyeong Bae · Bulletin of the Korean Mathematical Society · 2008
A graph G = (V, E) is called super edge-magic if there exists a one-to-one map $\lambda$ from V $\cup$ E onto {1,2,3,...,|V|+|E|} such that $\lambda$ (V)={1,2,...,|V|} and $\lambda(x)+\lambda(xy)+\lambda(y)$ is constant for every edge xy. In this paper, we investigate whether some families of graphs are super edge-magic or not.