图P_n^3和C_n^2的Mycielski图的邻点可区别I-全染色

The Study of Adjacent Vertex-Distinguishing I-total Coloring of Mycielski Graph with P_n^3 and C_n^2

应用构造染色法研究了图P_n^3和C_n^2的Mycielski图的邻点可区别I-全染色,并得到了其邻点可区别I-全色数,进一步验证了图的邻点可区别I-全染色猜想.

The paper applies the structure staining method to study the adjacent vertex-distinguishing I-total coloring of Mycielski graph of P_n^3 and C_n^2. And the adjacent vertex-distinguishing I-total chromatic of Mycielski graph of P_n^3 and C_n^2 is obtained thereby. The conjecture of the adjacent vertex-distinguishing I-total coloring graph is further verified in this paper.