Vertex-distinguishing Total Chromatic Number of P_m∨W_n

According to the definition and the method of the vertex-distinguishing total coloring,the vertex-distinguishing total coloring of Pm∨Wn is discussed,and the conclusion and proof of the vertex-distinguishing total chromatic number of Pm∨Wn are given.It provides the theoretical basis to further explore the distinguishing total coloring of other join graphs,and the results of the vertex-distinguishing total coloring of graphs are enriched.