摘 要:
图的全染色概念是点染色和边染色的推广,图的所有元素(顶点和边)都将染色且任相邻或关联的元素染色不同.邻点可区分的全染色是在正常全染色的定义上,使得相邻顶点的色集(C(v))不同.本文给出了P^n,Sn及其构造:Hajós sum,部分点替换图的邻点可区别的相邻顶点可区分的全染色.[著者文摘]

文章出处:
《山东科学》-2007年20卷5期 -6-9页
分 类 号:
文献标识码:
A
文章编号:
1002-4026(2007)05-0006-04
The Adjacent Vertex-Distinguishing Total Coloring of Two Types of Graphs
LIU Ping, WANG Yan-ni, WANG Li-wei ( School of Mathematics, Shandong Normal University, Jinan 250014, China )
Abstract:
The total coloring is a generalization of the dot and edge coloring, and all of the elements (vertices and edges)of a graph are colored in such a way that no two adjacent or incident elements are colored identically. The adjacent vertex-distinguish total coloring is a total colors and the colors sets of two adjacent vertices are different.The adjacent vertex-distinguishing total coloring numbers of graph P^n, Sn, their Hajós sum and part of the substituted graphs of vertices are given in this paper.[著者文摘]
Key words:
adjacent vertex-distinguishing total coloring; adjacent vertex-distinguishing total coloring numbers; graph P^n, Sn ; Hajós sum; part of the substituted graphs of verteices
基金资助:
国家自然科学基金资助项目(60673047)

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