Characterization of Completely $k$-Magic Regular Graphs

Arnold A. Eniego, I. J. L. Garces

Let $k\in \mathbb{N}$ and $c\in {\mathbb{Z}}_k$, where ${\mathbb{Z}}_1=\mathbb{Z}$. A graph $G=(V(G),E(G))$ is said to be $c$-sum $k$-magic if there is a labeling $\ell:E(G) \rightar…