太阳图的边缘不规则自反标注及双顶点环和零图的电晕

I. Setiawan, D. Indriati
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引用次数: 0

摘要

设G(V,E)是一个简单连通图,其顶点集为V,边集为E。G(V,E)上的不规则自反k标记f是对图元素进行整数个数赋值,使得正整数{1,2,3,…图的边和偶数正整数{0,2,4,…}的赋值,2kv}赋值给图的顶点。然后,取k = max{ke,2kv},如果每条边的权值不同,则称其为不规则自反k标记。此外,还定义了G(V,E)的自反边强度为res(G),即用于标记G(V,E)上的f的最小k。本文讨论了太阳图和以Cn N2表示的循环图和空图的电晕的边的不规则自反k标记,并确定了它们的边的自反强度。
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Edge irregular reflexive labeling on sun graph and corona of cycle and null graph with two vertices

Let G(V,E) be a simple and connected graph which set of vertices is V and set of edges is E. Irregular reflexive k-labeling f on G(V,E) is assignment that carries the numbers of integer to elements of graph, such that the positive integer {1,2, 3,...,ke} assignment to edges of graph and the even positive integer {0,2,4,...,2kv} assignment to vertices of graph. Then, we called as edge irregular reflexive k-labelling if every edges has different weight with k = max{ke,2kv}. Besides that, there is definition of reflexive edge strength of G(V,E) denoted as res(G), that is a minimum k that using for labeling f on G(V,E). This paper will discuss about edge irregular reflexive k-labeling for sun graph and corona of cycle and null graph, denoted by Cn ⨀ N2 and make sure about their reflexive edge strengths.

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