If there are common vertexes in all the maximum cliques of graph, and there are k common vertexes, then we call graph is the k class graph. Hereby, this paper gives a new method to study vertex coloring of graph. According to this method, this paper studies a class vertex coloring of special graphs, and gives vertex coloring number of some graphs.%如果图G含有的所有最大团存在公共顶点,且公共顶点的个数为k,就称此图为第k类图。据此,本文给出了研究图的顶点染色的一种新方法,并以此研究了一类特殊图的顶点染色及一些图的顶点染色数。
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