如果为任何东西二个邻近的顶点有不同颜色 sets.According 到树的性质, G 的 k 合适的全部的着色被称为邻近的区分,区分全部的色彩的数字的邻近的顶点将用方法为树的 Mycielski 图被决定感应。
A k-proper total coloring of G is called adjacent distinguishing if for any two adjacent vertices have different color sets. According to the property of trees, the adjacent vertex distinguishing total chromatic number will be determined for the Mycielski graphs of trees using the method of induction.