mC₁₂的点被多重集可区别的I-全染色和VI-全染色

I-Total Coloring and VI-Total Coloring of mC₁₂ Which Are Vertex-Distinguishing by Multiple Sets

通过构造以多重色集合和空集为元素的矩阵,应用组合分析法及构造具体染色的方法,得到了mC12的点被多重色集合可区别的I-全染色和VI-全染色的全色数及最优染色方案。

By constructing matrix with multi color sets and empty sets as elements, using the methods of combinatorial analysis and describing coloring explicitly, we obtain the total chromatic number of I-total coloring and VI-total coloring of mC12 which are vertexdistinguishing by multiple sets and determine strategy of the optimal coloring.