Group magicness of complete n-partite graphs
Wai Chee Shiu, Richard M. Low · 2006
Let A be a non-trivial Abelian group. We call a graph G = (V, E) A-magic if there exists a labeling f: E → A ∗ such that the induced vertex set labeling f +: V → A, defined by f + (v) = � uv∈E f(uv) is a constant map. In this paper, we show that Kk1,k2,...,kn (ki ≥ 2) is A-magic, for all A where |A | ≥ 3. Keywords: integer-magic spectrum, group-magic, A-magic, n-partite graph 2000 MSC: 05C15 1