电晕图的邻顶点区分全着色

S. S. K.Manikandan
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引用次数: 1

摘要

图的相邻顶点区分全着色是使任意一对相邻顶点具有不同颜色集的适当全着色。这种相邻顶点可分辨全着色所需的最小色数为其色数,表示为。本文得到了以下电晕图的相邻顶点可分辨全着色的色数(AVDTC):(我 )                  ( 路径,路径,(ii) )                ( 循环,周期,(iii) )              ( 完全图,完全图)(iv )               ( 路径,通过循环,)(v )                 ( 循环路径,)(vi )               ( 完全图,通过路径,)(七世 )             ( 完全图、循环)AMS主题分类:05 c15
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Adjacent Vertex Distinguishing Total Coloring Of Corona Graphs
An adjacent vertex distinguishing total coloring of a graph  is a proper total coloring of  such that any pair of adjacent vertices have different color sets. The minimum number of colors needed for such an adjacent vertex distinguishing total coloring of  is its chromatic number and is denoted by In this paper, we have obtained the chromatic number of adjacent vertex distinguishing total coloring(AVDTC) of the following corona graphs: (i)                  (path,  by path,  ) (ii)                (cycle,  by cycle, ) (iii)              (complete graph,  by complete graph, ) (iv)               (path,  by cycle, ) (v)                 (cycle,  by path, ) (vi)               (complete graph,  by path, ) (vii)             (complete graph,  by cycle, )  AMS Subject Classification: 05C15
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