F. Firman., D. Dafik, E. R. Albirri
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引用次数: 0

摘要

彩虹顶点连接是krivelevich和yuster在2009年首次引入的,是彩虹连接的延伸。设图$G =(V,E)$是连通图。如果图$G$上的每个顶点都通过具有不同颜色的内部顶点的路径连接,则彩虹顶点连接是为图$G$的顶点分配颜色。图$G$中彩虹顶点着色的最小颜色数称为彩虹顶点连接数,记为$rvc(G)$。研究的结果是族轮图的彩虹顶点连接数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Rainbow Vertex Connection Number pada Keluarga Graf Roda
The rainbow vertex connection was first introduced by krivelevich and yuster in 2009 which is an extension of the rainbow connection. Let graph $G =(V,E)$ is a connected graph. Rainbow vertex-connection is the assignment of color to the vertices of a graph $G$, if every vertex on graph $G$ is connected by a path that has interior vertices with different colors. The minimum number of colors from the rainbow vertex coloring in graph $G$ is called rainbow vertex connection number which is denoted $rvc(G)$. The result of the research are the rainbow vertex connection number of family wheel graphs.
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