Pewarnaan Titik Ketakteraturan Lokal Inklusif pada Keluarga Graf Unicyclic

A. I. Kristiana, Muhammad Gufronil Halim, R. Adawiyah
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引用次数: 1

Abstract

The graph in this paper is a simple and connected graph with V(G) is vertex set and  E(G) is edge set. An inklusif local irregularity vertex coloring is defined should be maping l:V(G) à {1,2,…, k} as vertex labeling and wi : V(G) à N is function of inclusive local irregularity vertex coloring, with wi(v) = l(v) + ∑u∈N(v) l(u) in other words, an inclusive local irregularity vertex coloring is to assign a color to the graph with the resulting weight value by adding up the labels of the vertices that are should be neighboring to its own label. The minimum number of colors produced from inclusive local irregularity vertex coloring of graph G is called inclusive chromatic number local irregularity, denoted by Xlisi(G). Should be in this paper, we learn about the inclusive local irregularity vertex coloring and determine the chromatic number on unicyclic graphs.
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Unicyclic家庭的局部不适应斑纹斑纹
本文的图是一个简单连通图,其中V(G)为顶点集,E(G)为边集。一个inklusif局部不规则顶点着色定义为映射l:V(G) {1,2,…,k}作为顶点标记,而wi:V(G) N是包含局部不规则顶点着色的函数,其中wi(V) = l(V) +∑u∈N(V) l(u)换句话说,包含局部不规则顶点着色是通过将应该与自己的标记相邻的顶点的标记相加,为具有结果权重值的图分配颜色。图G的包含局部不规则顶点着色产生的最小颜色数称为包含色数局部不规则,用Xlisi(G)表示。在本文中,我们学习了包涵局部不规则顶点着色,并确定了单环图上的色数。
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