j -图运算的着色

IF 0.3 Q4 COMPUTER SCIENCE, THEORY & METHODS
S. Naduvath, J. Kok
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引用次数: 1

摘要

如果G的每一个颜色类都包含至少一个来自闭邻域N[v]的顶点,则称给定图的顶点v位于G的彩虹邻域中。当且仅当图G的每个顶点都属于G的彩虹邻域时,图G的最大固有着色是j着色。一般情况下,所有的图不必具有j着色,即使它们承认有色着色。在本文中,我们刻画了具有j -着色的图。我们还讨论了在一定条件下承认j染色的若干图运算的一些初步结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
J-coloring of graph operations
Abstract A vertex v of a given graph is said to be in a rainbow neighbourhood of G if every color class of G consists of at least one vertex from the closed neighbourhood N[v]. A maximal proper coloring of a graph G is a J-coloring if and only if every vertex of G belongs to a rainbow neighbourhood of G. In general all graphs need not have a J-coloring, even though they admit a chromatic coloring. In this paper, we characterise graphs which admit a J-coloring. We also discuss some preliminary results in respect of certain graph operations which admit a J-coloring under certain conditions.
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来源期刊
Acta Universitatis Sapientiae Informatica
Acta Universitatis Sapientiae Informatica COMPUTER SCIENCE, THEORY & METHODS-
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