从图的适当着色得出的带符号图

Divya Antoney, Tabitha Agnes Mangam, Mukti Acharya
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引用次数: 0

摘要

设χ(G)表示图G的色数。在图G具有χ(G)色的适当着色下,我们由此定义了一个有符号图。将得到的有符号图定义为奇偶有色有符号图,记为Sc。如果相邻顶点的颜色具有相同(相反)奇偶性,则G的边的符号由顶点的颜色定义为+(-)。在本文中,我们开始了Sc的研究,并进一步研究了关于适当着色的几类图的染色rna数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Signed graphs from proper coloring of graphs
Let χ(G) denote the chromatic number of a graph G. Under the proper coloring of a graph G with χ(G) colors, we define a signed graph from it. The obtained signed graph is defined as parity colored signed graph and denoted as Sc. The signs of edges of G are defined from the colors of the vertices as +( − ) if the colors on the adjacent vertices are of the same (opposite) parity. In this paper, we initiate a study on Sc. We further investigate the chromatic rna number of some classes of graphs concerning proper coloring.
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