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Vertex-magic Total Labeling of Generalized Petersen Graphs and Convex Polytopes

机译:广义Petersen图和凸多边形的顶点魔术总标记

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摘要

A vertex-magic total labeling on a graph with v vertices and e edges is a one-to-one map taking the vertices and edges onto the integers 1,2,..., v + e with the property that the sum of the label on a vertex and the labels of its incident edges is constant, independent of the choice of vertex. We give vertex-magic total labelings for several classes of regular graphs. The paper concludes with several conjectures and open problems in the area.
机译:具有v个顶点和e个边的图上的顶点魔术总标记是一对一的图,将顶点和边带到整数1,2,...,v + e上,其性质为顶点上的标签和其入射边的标签是恒定的,与顶点的选择无关。我们为几类正则图提供了顶点魔术总标记。本文以该地区的一些猜想和未解决的问题作为结束。

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