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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 ...
Most wheel related graphs are not vertex magic
(Utilitas Math., 2008)
Suppose $G$ is a finite graph with vertex-set $V(G)$ and edge-set $E(G)$. A one-to-one map $\lambda$ from $V(G)\cup E(G)$ onto the integers $1,2,3, \dots, |V(G)|+|E(G)|$ is called a {\it vertex-magic total labeling}, if ...
On two conjectures concerning vertex magic total labelings of generalized Petersen graphs
(Bulletins of ICA, 2001)
A vertex-magic total labeling of a graph with $v$ vertices and $e$ edges is defined as a one-to-one map taking the vertices and edges onto the integers $1,2,\dots ,v+e$ with the property that the sum of the label on a ...
On vertex-magic total labeling of some wheel related graphs
(Utilitas Math., 2007)
Let G be a graph with vertex set V = V (G) and edge set E =
E(G) and let e = jE(G)j and v = jV (G)j. A one-to-one map ¸ from
V [ E onto the integers f1; 2; : : : ; v + eg is called vertex-magic total
labeling if there ...