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两类图并补图的色唯一性
On Chromatic Uniqueness for Complementary Union of Two Kinds of Graphs
【摘要】 刘儒英介绍了图的特征标R(G),并分别给出当R(G)=0和R(G)=1时图类所具有的性质并对图类进行描述,本文推广此结果,讨论了R(G)=-1和R(G)=-2时的情形,并证明了两类具备一定性质的图并的补图的色唯一性.
【Abstract】 R(G) was introduced by Liu, and he gave the properties of the classes of graphs and described them respectively when R(G)=0 and R(G)=1. Here, we extend this result to the cases of R(G)=-1 and R(G)=-2, then we prove that the union of two classes of graphs are chromatically unique under the certain conditions.
【关键词】 图论;
不可约图;
色唯一性;
补图;
【Key words】 graph theory; irreducible graph; chromatic uniqueness; complementary graph;
【Key words】 graph theory; irreducible graph; chromatic uniqueness; complementary graph;
【基金】 国家自然科学基金资助项目(10271017;60373030);北京交通大学基金资助项目(2004SM054)
- 【文献出处】 北京交通大学学报 ,Journal of Northern Jiaotong University , 编辑部邮箱 ,2005年03期
- 【分类号】O157.5
- 【下载频次】39