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SUPER EDGE-ANTIMAGIC LABELINGS OF THE PATH-LIKE TREES

机译:路径树的超边缘抗磁性标签

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摘要

A graph G = (V, E) is (a, d)-edge-antimagic total if there exists a bijective function f : V{G) U E(G) - {1, 2,..., |V(G)| + |E(G)|] such that the edge-weights w(uv) - |(u) + f(v) + f(uv),uv ∈ E{G), form an arithmetic progression with initial term a and common difference d. Such a labeling is called super if the smallest possible labels appear on the vertices. In this paper we study super (a,d)-edge-antirnagic properties of paths and path-like trees.
机译:如果存在双射函数f,则图G =(V,E)为(a,d)边缘反魔术总数:V {G)UE(G)-{1,2,...,| V(G )| + | E(G)|]使得边权重w(uv)-|(u)+ f(v)+ f(uv),uv∈E {G)形成一个具有初始项a和的算术级数共同差异d。如果最小的标签出现在顶点上,则这样的标签称为“超级”。在本文中,我们研究了路径和类路径树的超(a,d)边缘抗感特性。

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