The total chromatic number of a kind of graph have been got in this article.is a star and is a complete equal 2-partite graph.

• 作者单位：兰州交通大学;兰州交通大学86信箱甘肃兰州;西北第二民族学院信息与计算科学系宁夏银川;86信箱甘肃兰州