利用构造具体染色的方法,讨论了两条路的联图的点可区别I-全染色和点可区别VI-全染色问题,确定了这类图的点可区别I-全色数和点可区别VI-全色数,同时说明了VDITC猜想和VDVITC猜想对于这类图是成立的。
The problems of vertex-distinguishing I-total colorings and vertex-distinguishing VI-total colorings of the join of two paths are discussed by using the method of constructing concrete coloring. Vertex-distinguishing I-total chromatic numbers and vertex-distinguishing VI-total chromatic numbers of Pm∨Pn are determined, and the VDITC conjecture and VDVITC conjecture are valid for Pm ∨ Pn.