关于平面树色和方程结果的一个注记

A Note on Solution to the Chromatic Sum Equation of Planar Trees

这篇文章得到了有根平面树的节点剖分的色和方程.导出了带无限多个参数的有根平面植树和平面树的色和方程的精确表达式.作为直接推论可推出节点剖分的有根平面树的计数方程的精确结果.

In this paper, the chromatic sum equation of rooted planar trees with vertex partition is obtained. The explicit expressions of chromatic sum equations for rooted planted trees and planar trees with infinitive parameters are derived respectively. Furthermore, the explicit result of enumerating function of rooted planar trees with vertex partition is gotten as a directly corollary.