Vertex-Magic Total Labelings of Complete Bipartite Graphs
نویسندگان
چکیده
A vertex-magic total labeling on a graph G is a one-to-one map λ from V (G) ∪E(G) onto the integers 1, 2, · · · , |V (G) ∪E(G)| with the property that, given any vertex x, λ(x) + ∑ y∼x λ(y) = k for some constant k. In this paper we completely determine which complete bipartite graphs have vertex-magic total labelings.
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عنوان ژورنال:
- Ars Comb.
دوره 69 شماره
صفحات -
تاریخ انتشار 2003