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Vertex-magic total labelings of disconnected graphs
(Journal of Prime Research in Mathematics, 2006)
Let $G$ be a graph with vertex set $V=V(G)$ and edge set $E=E(G)$ and
let $e=\vert E(G) \vert$ and $v=\vert V(G) \vert$.
A one-to-one map $\lambda$ from $V\cup E$ onto the integers
$\{ 1,2, ..., v+e \}$ is called {\it ...