简单图mC_4的点可区别V-全染色

Vertex-distinguishing V- total chromatic number of simple graph mC_4

根据简单图的点可区别V-全染色的概念及其染色方法,讨论m个阶为4的圈的顶点不交并的点可区别V-全染色,并给出全色数及其证明.为进一步探讨其他简单图的点可区别V-全染色提供了理论证据,丰富了图的点可区别V-全染色的结果.

According to the definition and the method of the vertex-distinguishing V- total coloring,mainly discussed the vertex-distinguishing V- total coloring of the vertex-disjoint union of mC4,and gave vertex- distinguishing V-total chromatic number,which provided a theoretical evidence for the prospective studies of other simple graph vertex-distinguishing V- total coloring and enriched results of the graph vertex-distinguishing V-total coloring.