关于奇平均图的进一步结果

R. Vasuki
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引用次数: 0

摘要

设G = (V,E)是一个有p个顶点和q条边的图。如果存在一个函数f: V (G)→{0,1,2,…,则称图G具有奇均值标记。, 2q−1}满足f = 1−1和诱导映射f *: E(G)→{1,3,5,…, 2q−1}定义为f * (uv) = {f(u)+f(v) 2如果f(u)+f(v)是偶数f(u)+f(v)+1 2如果f(u)+f(v)是奇数。是一个双射。允许奇数平均标记的图称为奇平均图。本文研究了一些标准图的奇均值行为。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Further Results On Odd Mean Graphs
Let G = (V,E) be a graph with p vertices and q edges. A graph G is said to have an odd mean labeling if there exists a function f : V (G)→ {0, 1, 2, . . . , 2q − 1} satisfying f is 1 − 1 and the induced map f∗ : E(G) → {1, 3, 5, . . . , 2q − 1} defined by f∗(uv) = { f(u)+f(v) 2 if f(u) + f(v) is even f(u)+f(v)+1 2 if f(u) + f(v) is odd. is a bijection. A graph that admits an odd mean labeling is called an odd mean graph. Here we study about the odd mean behaviour of some standard graphs.
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