关于广义冬梅地图的计数（英文）

摘要

In this paper the author provides some functional equations satisfied by the enumerating function of generalized wintersweets with the valency of root-vertex,the numbers of inner faces and nonrooted vertices of the maps as three parameters.Two of them are cubic equations.Furthermore,explicit expressions of them are also derived.%本文提供了广义冬梅地图以根点次,非根点数和内面数为参数的计数函数所满足的一些函数方程,其中有两个为三次方程,并进一步导出了它们的计数显式。