钻石项链图Nk的点被多重集可区别的E-全染色(2 ≤ k ≤ 165)

E-Total Coloring of Nk Which Is Vertex-Distinguished by Multiple Sets (2 ≤ k ≤ 165)

利用反证法和构造具体染色的方法,讨论了钻石项链图Nk的顶点被多重集可区别的E-全染色。给出了钻石项链图Nk的相应染色方案,构造了具体的钻石项链图Nk的点被多重集可区别的E-全染色,其中2 ≤ k ≤ 165。

In this paper, by using the method of contradiction and the method of constructing concrete col-oring, we discuss E-total coloring of Nk which is vertex-distinguished by multiple sets. The corre-sponding colorings of Nk are presented, and the E-total chromatic numbers of vertex-distinguished Nk with multiple sets are obtained, which 2 ≤ k ≤ 165.