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1)  adjacent vertex-distinguishing edge total coloring
关联点可区别全染色
2)  incidence vertex-distinguishing total coloring
关联邻点可区别全染数
3)  vertex-distinguishing total coloring
点可区别全染色
1.
In this paper,the vertex-distinguishing and the adjacent vertex-distinguishing total coloring of Kn∨G are studied.
研究了一类联图Kn∨G的点可区别与邻点可区别全染色。
2.
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.
根据点可区别全染色的概念及其染色方法,讨论了路与轮联图的点可区别全染色,给出了路与轮联图的点可区别全色数的结论及其证明,为进一步探讨其他联图的点可区别全染色提供了理论证据,丰富了图的点可区别全染色的结果。
4)  vertex incidence-adjacent vertex distingushing total chromatic number
点关联邻点可区别全色数
5)  adjacent Vertex-distinguishing total coloring
邻点可区别全染色
1.
On the adjacent vertex-distinguishing total coloring of K(r,2m);
图K(r,2m)的邻点可区别全染色
2.
The adjacent vertex-distinguishing total coloring of k-multi-Mycielski the graphs;
多重Mycielski图的邻点可区别全染色
3.
On the adjacent vertex-distinguishing total coloring of some generalized Petersen graphs;
若干广义Petersen图的邻点可区别全染色
6)  adjacent-vertex-distinguishing total coloring
邻点可区别全染色
1.
For a connected graph G with an order no less than 2,the adjacent-vertex-distinguishing total coloring on it means that the color and color set of arbitrary two adjacent vertices on G is different and,furthermore,the color of arbitrary two adjacent sides with a vertex is different from that of their correlative sides as well.
设G是阶数不小于2的连通图,则其邻点可区别全染色是指G中任意两个相邻的顶点有不同的颜色和色集合,且任意相邻的两条边及一个顶点与其关联边的颜色也不相同。
2.
For f, if any pair adjacent vertices have different color sets, then f is called an adjacent-vertex-distinguishing total coloring.
对此f,如果G的任意两个相邻顶点的色集合不同,则称f为G的邻点可区别全染色。
3.
Let x_(at)(G)=min{k|G has a k-adjacent-vertex-distinguishing total coloring}.
如果f是k-正常全染色,且对任意u,v∈V(G),uv∈E(G),有C_f(u)≠C_f(v),那么称f为图G的邻点可区别全染色(简称为k-AVDTC)。
补充资料:关联


关联
incidence

  关联(indd即邝:““。“及euT,oeT‘] 几何学中的一个术语,用于表示几何学的一些基本对象:点、线、平面之间“属于”或.“包含”关系.关联性质由所谓关联公理来表征(见11川祀rt公理系统(Hilbert哪妞m ofaxlon‘).A.E,她aHOa撰【补注】关于参考文献,亦见关联系统(泊cidenCe娜-lem)和射影几何学(proJ曰i记g为皿1巧).张鸿林译
  
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