伞状图、伞状图和半伞状图的谐色数

Fransiskus Fran, Nilamsari Kusumastuti, None Robiandi
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引用次数: 0

摘要

本文讨论了简单图G的调和着色问题,即伞图、伞图和半伞图。如果每对颜色(基于边或顶点对)最多出现一次,则图G上的顶点着色是调和着色。与图G的调和着色相关联的色数称为调和色数,记为XH(G)。本文给出了伞形图、伞形图和半伞形图的调和色数的精确值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
BILANGAN KROMATIK HARMONIS PADA GRAF PAYUNG, GRAF PARASUT, DAN GRAF SEMI PARASUT
This article discusses the harmonic coloring of simple graphs G, namely umbrella graphs, parachute graphs, and semi-parachute graphs. A vertex coloring on a graph G is a harmonic coloring if each pair of colors (based on edges or pair of vertices) appears at most once. The chromatic number associated with the harmonic coloring of graph G is called the harmonic chromatic number denoted XH(G). In this article, the exact values ​​of harmonic chromatic numbers are obtained for umbrella graphs, parachute graphs, and semi-parachute graphs.
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