关于扇形图族的r-动态着色

Pub Date : 2021-11-01 DOI:10.2478/auom-2021-0039

Raúl M. Falcón, M. Venkatachalam, S. Gowri, G. Nandini

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引用次数: 1

摘要

摘要本文确定了扇形图Fm,n的r-动态色数，并确定了中间图M(Fm,n)、总图T (Fm,n)、中心图C(Fm,n)和线形图L(Fm,n)四个相关图族的该图不变量的明显界。此外，在m = 1的情况下，我们确定了这四个图族中每一个图族的r-动态色数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the r-dynamic coloring of some fan graph families

Abstract In this paper, we determine the r-dynamic chromatic number of the fan graph Fm,n and determine sharp bounds of this graph invariant for four related families of graphs: The middle graph M(Fm,n), the total graph T (Fm,n), the central graph C(Fm,n) and the line graph L(Fm,n). In addition, we determine the r-dynamic chromatic number of each one of these four families of graphs in case of being m = 1.

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