【摘要】 介绍了一种新的色对策Ⅱ和对策染色数Ⅱ，比较了两种色对策的差异，讨论了图G的色对策Ⅱ的性质，对这种图的新不变量，利用顶点标号方法，给出获胜策略，对几种特殊图类进行了讨论，分别确定了路图及补图、圈图Cn及与圈有关的图的对策色数Ⅱ．更多还原

【Abstract】 This paper introduces a new game chromatic and game chromatic number. By labeling the vertex of graph with color, this paper determines the chromatic number of cycle and other graphs, And also determines the property of the game chromatic number Ⅱ.更多还原