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On the degrees of a strongly vertex-magic graph
(Discrete Mathematics, 2006)
Let G=(V ,E) be a finite graph, where |V |=n2 and |E|=e1.A vertex-magic total labeling is a bijection from V ∪E to the set of consecutive integers {1, 2, . . . , n + e} with the property that for every v ∈ V , (v) +w∈N(v) ...