| 推广的Petersen图的相邻顶点可区分的全染色 |
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| 引用本文： | 王丽伟,刘萍,王颜妮.推广的Petersen图的相邻顶点可区分的全染色[J].山东科学,2007,20(6):4-8. |
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| 作者姓名： | 王丽伟 刘萍 王颜妮 |
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| 作者单位： | 山东师范大学数学科学学院,山东,济南,250014 |
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| 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不同.本文给出了推广的Petersen图的相邻顶点可区分的全染色.
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| 关 键 词： | 邻点可区分的全染色 邻点可区分的全色数 推广的Petersen图 |
| 文章编号： | 1002-4026（2007）06-0004-05 |
| 收稿时间： | 2007-03-04 |
| 修稿时间： | 2007年3月4日 |
On Adjacent Vertex-Distinguishing Total Coloring of Generalized Petersen Graph |
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| WANG Li-wei,LIU Ping,WANG Yan-ni.On Adjacent Vertex-Distinguishing Total Coloring of Generalized Petersen Graph[J].Shandong Science,2007,20(6):4-8. |
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| Authors: | WANG Li-wei LIU Ping WANG Yan-ni |
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| Abstract: | The Total Coloring of a graph is a generalization of the vetex and edge coloring,in which all of the elements(vertices and edges)are colored in such a way that no any two adjacent or correlative elements are colored indentically.The adjacent vertex-distinguish total coloring is a normal total coloring and the colors sets of two adjacent vertices are different.In this paper,the adjacent vertex-distinguishing total coloring numbers of generalized Petersen graph are presented. |
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| Keywords: | adjacent vertex-distinguishing total coloring the adjacent vertex-distinguishing total coloring number generalized Petersen graph |
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