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3_线图的完美性
引用本文:林育青. 3_线图的完美性[J]. 韩山师范学院学报, 1997, 18(2): 27-29
作者姓名:林育青
作者单位:Dept. of Math,Hanshan Teachers College. 521041
摘    要:本文给出了3_线图含有奇洞的充要条件,从而使3_线图的完美图猜想得到彻底解决,同时,本文还给出完美3_线圈是k点染色的充要条件及3_线图是连通的充要条件等一些结论。

关 键 词:完美性 3-线图 奇洞 完美图 充要条件 k点染色 安全子图

The Perfection of 3_Line Graphs
Lin Yu-qing. The Perfection of 3_Line Graphs[J]. Journal of Hanshan Teachers College, 1997, 18(2): 27-29
Authors:Lin Yu-qing
Abstract:In this paper, we give a necessary and sufficient condition for a 3-line graph with odd holes so that Perfect Graph Conjecture of 3- line graphs can be solved completely. Besides, we have a discussion that perfect 3- line graph is the necessary and sufficienr condition for k chromatic and perfect 3- line graph is the necessary and sufficient condition for connection.
Keywords:3_line graph Odd hole Perfect graph
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