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Super Edge-Magic Strength of Some Trees

机译:一些树木的超强边缘魔术强度

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摘要

A graph G is called super edge-magic if there exists a bijection f: V U E → {1,2,...,v + ε} such that for all edges xy, f(x) + f(y) + f(xy) = c(f) is a constant and f(V)= {1,2,...,v}.The super edge-magic strength of a graph is denoted by sm(G) and is defined as the minimum of all constants where the minimum is taken over all super edge-magic labelings of G. In this paper, we find the super edge-magic strength of some trees.
机译:如果存在双射f,则图G称为超边魔术:VUE→{1,2,...,v +ε},使得对于所有边xy,f(x)+ f(y)+ f( xy)= c(f)是常数,f(V)= {1,2,...,v}。图的超边魔术强度由sm(G)表示并定义为最小值在G的所有超级边缘魔术标记上取最小值的所有常数。在本文中,我们发现了某些树木的超级边缘魔术强度。

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