图的控制数的若干问题研究

图的控制理论是图论中的一个重要分支。此项目中，我们拟解决此领域中的被受关注的有关图的控制数，独立控制数，匹配控制数若干猜想。这些猜想大多与3正则图与二部图有关。这些问题的顺利解决将对图的控制理论及图的相关的领域产生重要影响。

Domination of graphs is a branch of important area of graph theory. In this project, we try to solve several conjectures concerning various domination parameters of graphs, including domination number, independent domination number, paired domination number, which attracts great deal of attention in the community of graph theory. Much of these problems are posed on 3-regular graphs and bipartite graphs. The resolution of these problems have a significant important on in domination theory of graphs and its related fields.