【摘要】 给出了球面和射影平面上带根不可分地图的色和方程,从色和方程导出了球面和射影平面上带根一般不可分地图、二部地图的计数函数方程。利用色和理论,研究不同类地图的计数问题,得到了一种研究计数问题的新方法。此外,还得到了一些计数显示表达式。更多还原

【Abstract】 In this paper,the chromatic sum function equations is given for rooted nonseparable maps on the sphere and the projective plane.Based on the chromatic sum equations, the enumerating function equations of rooted nonseparable maps,rooted nonseparable bipartite maps on the sphere and the projective plane are derived.By applying the chromatic sum theory,the enumerating problem of different sort of maps can be studied,a new method of enumeration is obtained.Finally,some explicit expressions of enumerating functions are also derived.更多还原