【摘要】 在综述国内外关于广义多边形树Gst(a,b;c,d)着色研究的基础上,对一些广义多边形树Gst(a,b;c,d)(s+t=2)组成的图类2ξ(a,b;c,d)的着色、色唯一和色等价类等相关问题进行了研究,得到了两类特殊图2ξ(m,m;m,m)(m≥2)和2ξ(a,a;b,b)(a≠b)且min{a,b}≥2是两个色等价类的结论.更多还原

【Abstract】 The correlative problems,which are concerned with the family of graphs ξ₂（a,b;c,d） composed of some generalized polygon trees G^s_t（a,b;c,d） and s+t=2,such as their coloring,chromatic uniqueness,and chromatic equivalence class,were investigated on the basis of summing up the investigation results of coloring of above-mentioned polygon trees.It was concluded then that two families of special graphs ξ₂（m,m;m,m） for m≥2 and ξ₂（a,a;b,b） for a≠b are two chromatic equivalence classes.更多还原