摘要
给出一个不属于Non-D的图,但该图却不是(Dm,m)-可选择的.这表明在Tuza Zs和Voigt M的Non-D定义和(Dm,m)-可选择图的特征化定理中存在一定的冲突.针对如上冲突,对Tuza Zs和Voigh M所给出的Non-D的定义,以及(Dm,m)-可选择图的特征化定理的证明进行了修正.
This paper gives a graph that does not belong to Non-D, while it is not (Dm,m)-choosable according to the definition given by Tuza Zs and Voigt M. This shows that there are some conflictions in the definition of Non-D and the characterization theorem for (Dm,m)-choosable graphs. Some modifications are given for the definition of Non-D and the proof of the characterization theorem for (Dm,m)-choosable graphs.
出处
《大学数学》
北大核心
2008年第3期71-73,共3页
College Mathematics
基金
河北省教育厅自然科学研究项目(2005108)
河北科技师范学院博士基金研究项目(2006D015)